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Recognised as Number

1,348

  • Positive
  • Even
  • Composite
  • 4 digits

1,348 is an even 4-digit integer and a composite number. It has 6 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,348
Digit count4
Digit sum16
Digit product96
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 337
Distinct prime factors22, 337
Number of divisors6
Sum of divisors σ(n)2,366
Aliquot sum1,018sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)672integers below n that share no factor with it
Carmichael function λ(n)336the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 672
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 337, 674, 1,3486 in total

Arithmetic

Previous number1,347
Next number1,349
Double2,696
Half674
Square1,817,104
Cube2,449,456,192
Square root36.715119501≈irrational, shown to 9 decimal places
Cube root11.046633974≈
Negation-1,348
Reciprocal0.0007418398≈

Representations

Decimal1,348
Binary1010100010011 bits
Octal2504
Hexadecimal544
Base 3611G
Roman numeralMCCCXLVIII
In wordsone thousand, three hundred and forty-eight
Ordinalone thousand, three hundred and forty-eighth
Scientific notation1.348 × 10^3
Engineering notation1.348 × 10^3

In other bases

Ternary1211221base 3; the most digit-efficient integer base after e: 7 digits
Quinary20343base 5; one hand: 5 digits
Septenary3634base 7: 4 digits
Nonary1757base 9; each digit is two ternary digits: 4 digits
Duodecimal944base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal378base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:28base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T0TT0T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10101000100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010101000100
Bit length11 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits7within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes205 44
Gray code11111100110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010101000100
32-bit00000000000000000000010101000100
64-bit0000000000000000000000000000000000000000000000000000010101000100
One's complement1111101010111011at 16 bits, every bit flipped
Bits reversed0010001010100000at 16 bits
Rotated left by 10000101010001000at 16 bits, wrapping
Shifted left by 1101010001000= 2,696, no wrap
Shifted right by 11010100010= 674, discarding the low bit
These bits as a double6.66000491 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,361+13
Previous prime1,327−21
Distance to nearest prime13
Nearest square below1,296
Nearest square above1,369

Powers & multiples

1,348 to the power 21,817,104
1,348 to the power 32,449,456,192
1,348 to the power 43,301,866,946,816
1,348 to the power 54,450,916,644,307,968
First ten multiples1,348, 2,696, 4,044, 5,392, 6,740, 8,088, 9,436, 10,784, 12,132, 13,480
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 4
Divisible by 8No, remainder 4
Divisible by 9No, remainder 7
Divisible by 10No, remainder 8
Divisible by 11No, remainder 6
Divisible by 12No, remainder 4
Divisible by 100No, remainder 48

Collatz (3n + 1) trajectory

Steps to reach 1114the total stopping time
Highest value reached9,2326× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,348 → 674 → 337 → 1,012 → 506 → 253 → 760 → 380 → 190 → 95 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage134,800%
1,348% as a decimal13.48
1,348% of 1001,348
1,348% of 1,00013,480
As a fraction of 1001,348/100

Read another way

As seconds22 minutes and 28 seconds
As bytes1.316 KiB
As a year1348 AD
As a 24-bit colour#000544

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Neighbouring numbers

Nearby primes

Also reads as

1348 (year)

  • Leap year
  • 366 days
  • 14th century
  • Rat

1348 was a leap year of 366 days. It began on a Monday and ended on a Tuesday. Easter Sunday fell on 31 March.

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Structure of the year

Leap yearYesdivisible by 4, and by 400 if divisible by 100
Days in the year366
Days in February29
1 January fell on aMonday
31 December fell on aTuesday
Century14th century
Decade1340s
Chinese zodiacRat
Easter Sunday31 March

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Monday and Tuesday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays53one of the extras
Tuesdays53one of the extras
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 September, 13 December
ISO weeks52an ordinary 52-week year
Same calendar as1320the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1376, 1416, 144428 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1348

January31 days, starts Monday
February29 days, starts Thursday
March31 days, starts Friday
April30 days, starts Monday
May31 days, starts Wednesday
June30 days, starts Saturday
July31 days, starts Monday
August31 days, starts Thursday
September30 days, starts Sunday
October31 days, starts Tuesday
November30 days, starts Friday
December31 days, starts Sunday

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start-19,628,438,400
Unix timestamp at the end-19,596,816,001
Years from now678 years ago
Days from today247,892 days since 1 January

The number 1348

As a number1,348
In wordsone thousand, three hundred and forty-eight
Roman numeralsMCCCXLVIII

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Neighbouring years

Also reads as

#113344 (colour)

  • #113344
  • Blue
  • Dark
  • Nearest: Dark slate grey

#113344 is a blue with RGB values 17, 51, 68 and HSL 200°, 60%, 17%. It is a dark colour, so white text on it reaches 13.3:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#113344#113344
HEX#113344
HEX (short)#134
RGBrgb(17, 51, 68)
RGB (0–1)0.0667, 0.2, 0.2667
RGB percentages6.7%, 20%, 26.7%
HSLhsl(200, 60%, 16.7%)
HSV / HSBhsv(200, 75%, 26.7%)
CMYK75%, 25%, 0%, 73.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,127,236
CSS custom property--colour: #113344;

Brightness & contrast

Relative luminance0.02904WCAG 2.x, 0 is black and 1 is white
Perceived brightness46.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.28:1
Contrast with white13.28:1WCAG normal text: AAA
Contrast with black1.58:1WCAG normal text: Fail
Greyscale equivalent#2D2D2D
Inverted#EECCBB

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#2B3245no red cones; affects about 1% of men; ΔE 8.5 from the original
Deuteranopia#242D44no green cones; the most common form, about 1% of men; ΔE 9.3 from the original
Tritanopia#003839no blue cones; rare, and affects men and women equally; ΔE 13.5 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text13.28:1WCAG large text: AAA
Contrast with black, large text1.58:1WCAG large text: Fail

Named colours

Dark slate grey · ΔE 16.7Black · ΔE 24.9Dim grey · ΔE 29.1Slate grey · ΔE 33.6Light slate grey · ΔE 36.6Teal · ΔE 37.2
Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 16.71, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#442211
Analogous#11443C, #111944
Triadic#441133, #334411
Split complementary#44111A, #443B11
Tetradic#3B1144, #442211, #194411

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#4EA7D3
Lighter +30%#308FBE
Lighter +20%#257096
Lighter +10%#1B526D
Darker −10%#07141B
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#06374F
Less saturated −25%#1C2F39

Channel breakdown

R17
G51
B68
Red17 (6.7%)
Green51 (20%)
Blue68 (26.7%)
Hue200°
Saturation (HSL)60%
Lightness16.67%
Dominant channelBlue
Hex per channelR 11 · G 33 · B 44

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Every value on this page was computed from “1348” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.