Recognised as Number
440
- Positive
- Even
- Composite
- 3 digits
440 is an even 3-digit integer and a composite number. It has 16 divisors and a digital root of 8.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value440
Digit count3
Digit sum8
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 5 × 11
Distinct prime factors32, 5, 11
Number of divisors16
Sum of divisors σ(n)1,080
Aliquot sum640sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)160integers below n that share no factor with it
Carmichael function λ(n)20the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 160
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 44016 in total
Arithmetic
Representations
Decimal440
Binary1101110009 bits
Octal670
Hexadecimal1B8
Base 36C8
Roman numeralCDXL
In wordsfour hundred and forty
Ordinalfour hundred and fortieth
Scientific notation4.4 × 10^2
Engineering notation440
In other bases
Ternary121022base 3; the most digit-efficient integer base after e: 6 digits
Quinary3230base 5; one hand: 4 digits
Septenary1166base 7: 4 digits
Nonary538base 9; each digit is two ternary digits: 3 digits
Duodecimal308base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal120base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal7:20base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TT110Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11011001000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000000110111000
Bit length9 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits4within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes201 b8
Gray code101100100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000000110111000
32-bit00000000000000000000000110111000
64-bit0000000000000000000000000000000000000000000000000000000110111000
One's complement1111111001000111at 16 bits, every bit flipped
Bits reversed0001110110000000at 16 bits
Rotated left by 10000001101110000at 16 bits, wrapping
Shifted left by 11101110000= 880, no wrap
Shifted right by 111011100= 220, discarding the low bit
These bits as a double2.17388884 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
440 to the power 2193,600
440 to the power 385,184,000
440 to the power 437,480,960,000
440 to the power 516,491,622,400,000
First ten multiples440, 880, 1,320, 1,760, 2,200, 2,640, 3,080, 3,520, 3,960, 4,400
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 6
Divisible by 8Yes
Divisible by 9No, remainder 8
Divisible by 10Yes
Divisible by 11Yes
Divisible by 12No, remainder 8
Divisible by 100No, remainder 40
Collatz (3n + 1) trajectory
Steps to reach 1115the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps440 → 220 → 110 → 55 → 166 → 83 → 250 → 125 → 376 → 188 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage44,000%
440% as a decimal4.4
440% of 100440
440% of 1,0004,400
As a fraction of 100440/100
Read another way
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Derived from 440
Other readings
Also reads as
#444400 (colour)
- #444400
- Yellow
- Dark
- Nearest: Dark olivegreen
#444400 is a yellow with RGB values 68, 68, 0 and HSL 60°, 100%, 13%. It is a dark colour, so white text on it reaches 10.1:1 contrast (AAA for normal text). The nearest named colour is Dark olivegreen.
Colour values
#444400#444400
HEX#444400
HEX (short)#440
RGBrgb(68, 68, 0)
RGB (0–1)0.2667, 0.2667, 0
RGB percentages26.7%, 26.7%, 0%
HSLhsl(60, 100%, 13.3%)
HSV / HSBhsv(60, 100%, 26.7%)
CMYK0%, 0%, 100%, 73.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,473,856
CSS custom property--colour: #444400;
Brightness & contrast
Relative luminance0.05363WCAG 2.x, 0 is black and 1 is white
Perceived brightness64 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.13:1
Contrast with white10.13:1WCAG normal text: AAA
Contrast with black2.07:1WCAG normal text: Fail
Greyscale equivalent#3F3F3F
Inverted#BBBBFF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text10.13:1WCAG large text: AAA
Contrast with black, large text2.07:1WCAG large text: Fail
Named colours
Hue familyyellow
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#000044
Analogous#442200, #224400
Triadic#004444, #440044
Split complementary#002244, #220044
Tetradic#004422, #000044, #440022
Tints, shades & saturation
Channel breakdown
R68
G68
B0
Red68 (26.7%)
Green68 (26.7%)
Blue0 (0%)
Hue60°
Saturation (HSL)100%
Lightness13.33%
Dominant channelRed and Green
Hex per channelR 44 · G 44 · B 00
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Harmonies
Similar named colours
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