Recognised as Number
1,364
- Positive
- Even
- Composite
- 4 digits
1,364 is an even 4-digit integer and a composite number. It has 12 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,364
Digit count4
Digit sum14
Digit product72
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 11 × 31
Distinct prime factors32, 11, 31
Number of divisors12
Sum of divisors σ(n)2,688
Aliquot sum1,324sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)600integers below n that share no factor with it
Carmichael function λ(n)30the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 600
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1,36412 in total
Arithmetic
Representations
Decimal1,364
Binary1010101010011 bits
Octal2524
Hexadecimal554
Base 3611W
Roman numeralMCCCLXIV
In wordsone thousand, three hundred and sixty-four
Ordinalone thousand, three hundred and sixty-fourth
Scientific notation1.364 × 10^3
Engineering notation1.364 × 10^3
In other bases
Ternary1212112base 3; the most digit-efficient integer base after e: 7 digits
Quinary20424base 5; one hand: 5 digits
Septenary3656base 7: 4 digits
Nonary1775base 9; each digit is two ternary digits: 4 digits
Duodecimal958base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal384base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:44base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T0T0TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10101010100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010101010100
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; 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 54
Gray code11111111110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010101010100
32-bit00000000000000000000010101010100
64-bit0000000000000000000000000000000000000000000000000000010101010100
One's complement1111101010101011at 16 bits, every bit flipped
Bits reversed0010101010100000at 16 bits
Rotated left by 10000101010101000at 16 bits, wrapping
Shifted left by 1101010101000= 2,728, no wrap
Shifted right by 11010101010= 682, discarding the low bit
These bits as a double6.73905541 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,364 to the power 21,860,496
1,364 to the power 32,537,716,544
1,364 to the power 43,461,445,366,016
1,364 to the power 54,721,411,479,245,824
First ten multiples1,364, 2,728, 4,092, 5,456, 6,820, 8,184, 9,548, 10,912, 12,276, 13,640
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 2
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9No, remainder 5
Divisible by 10No, remainder 4
Divisible by 11Yes
Divisible by 12No, remainder 8
Divisible by 100No, remainder 64
Collatz (3n + 1) trajectory
Steps to reach 113the total stopping time
Highest value reached1,364
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,364 → 682 → 341 → 1,024 → 512 → 256 → 128 → 64 → 32 → 16 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage136,400%
1,364% as a decimal13.64
1,364% of 1001,364
1,364% of 1,00013,640
As a fraction of 1001,364/100
Read another way
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Derived from 1,364
Also reads as
1364 (year)
- Leap year
- 366 days
- 14th century
- Dragon
1364 was a leap year of 366 days. It began on a Sunday and ended on a Monday. Easter Sunday fell on 1 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Sunday and Monday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays53one of the extras
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th3 of them13 January, 13 April, 13 July
ISO weeks52an ordinary 52-week year
Same calendar as1336the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1392, 1404, 143228 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1364
January31 days, starts Sunday
February29 days, starts Wednesday
September30 days, starts Saturday
October31 days, starts Monday
November30 days, starts Thursday
December31 days, starts Saturday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-19,123,516,800
Unix timestamp at the end-19,091,894,401
Years from now662 years ago
Days from today242,054 days since 1 January
The number 1364
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Also reads as
#113366 (colour)
- #113366
- Blue
- Dark
- Nearest: Dark slateblue
#113366 is a blue with RGB values 17, 51, 102 and HSL 216°, 71%, 23%. It is a dark colour, so white text on it reaches 12.4:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#113366#113366
HEX#113366
HEX (short)#136
RGBrgb(17, 51, 102)
RGB (0–1)0.0667, 0.2, 0.4
RGB percentages6.7%, 20%, 40%
HSLhsl(216, 71.4%, 23.3%)
HSV / HSBhsv(216, 83.3%, 40%)
CMYK83.3%, 50%, 0%, 60%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,127,270
CSS custom property--colour: #113366;
Brightness & contrast
Relative luminance0.03446WCAG 2.x, 0 is black and 1 is white
Perceived brightness52.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.43:1
Contrast with white12.43:1WCAG normal text: AAA
Contrast with black1.69:1WCAG normal text: Fail
Greyscale equivalent#2F2F2F
Inverted#EECC99
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text12.43:1WCAG large text: AAA
Contrast with black, large text1.69:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#664411
Analogous#115D66, #191166
Triadic#661133, #336611
Split complementary#661A11, #5D6611
Tetradic#66115E, #664411, #11661A
Tints, shades & saturation
Channel breakdown
R17
G51
B102
Red17 (6.7%)
Green51 (20%)
Blue102 (40%)
Hue216°
Saturation (HSL)71.43%
Lightness23.33%
Dominant channelBlue
Hex per channelR 11 · G 33 · B 66
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Harmonies
Similar named colours
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