Recognised as Number
438,000
- Positive
- Even
- Composite
- 6 digits
438,000 is an even 6-digit integer and a composite number. It has 80 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value438,000
Digit count6
Digit sum15
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 3 × 5^3 × 73
Distinct prime factors42, 3, 5, 73
Number of divisors80
Sum of divisors σ(n)1,431,456
Aliquot sum993,456sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)115,200integers below n that share no factor with it
Carmichael function λ(n)1,800the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 115,200
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 73, 75, 80, 100, 120, 125, 146, 150, 200, 219, 240, 250, 292, 300, 365, 375, 400, 438, 500, 584, 600, 730, 750, 876, 1,000, 1,095, 1,168, 1,200, 1,460, 1,500, 1,752, 1,825, 2,000, 2,190, 2,920, 3,000, 3,504, 3,650, 4,380, 5,475, 5,840, 6,000, 7,300, 8,760, 9,125, 10,950, 14,600, 17,520, 18,250, 21,900, 27,375, 29,200, 36,500, 43,800, 54,750, 73,000, 87,600, 109,500, 146,000, 219,000, 438,00080 in total
Arithmetic
Representations
Decimal438,000
Binary110101011101111000019 bits
Octal1527360
Hexadecimal6AEF0
Base 369DYO
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred and thirty-eight thousand
Ordinalfour hundred and thirty-eight thousandth
Scientific notation4.38 × 10^5
Engineering notation438 × 10^3
In other bases
Ternary211020211020base 3; the most digit-efficient integer base after e: 12 digits
Quinary103004000base 5; one hand: 9 digits
Septenary3502653base 7: 7 digits
Nonary736736base 9; each digit is two ternary digits: 6 digits
Duodecimal191580base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2ef00base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal2:1:40:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T111T1T111T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111111001100110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001101010111011110000
Bit length19 bitsto write the magnitude
Set bits11the population count, or Hamming weight
Zero bits8within that length
Bit parityodd11 set bits, so odd; not the same as the number itself being even
Highest set bitbit 18worth 262,144
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes306 ae f0
Gray code1011111100110001000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001101010111011110000
64-bit0000000000000000000000000000000000000000000001101010111011110000
One's complement11111111111110010101000100001111at 32 bits, every bit flipped
Bits reversed00001111011101010110000000000000at 32 bits
Rotated left by 100000000000011010101110111100000at 32 bits, wrapping
Shifted left by 111010101110111100000= 876,000, no wrap
Shifted right by 1110101011101111000= 219,000, discarding the low bit
These bits as a double2.16400753 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
438,000 to the power 2191,844,000,000
438,000 to the power 384,027,672,000,000,000
438,000 to the power 436,804,120,336,000,000,000,000
438,000 to the power 516,120,204,707,168,000,000,000,000,000
First ten multiples438,000, 876,000, 1,314,000, 1,752,000, 2,190,000, 2,628,000, 3,066,000, 3,504,000, 3,942,000, 4,380,000
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 6
Divisible by 10Yes
Divisible by 11No, remainder 2
Divisible by 12Yes
Divisible by 100Yes
Collatz (3n + 1) trajectory
Steps to reach 168the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps438,000 → 219,000 → 109,500 → 54,750 → 27,375 → 82,126 → 41,063 → 123,190 → 61,595 → 184,786 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage43,800,000%
438,000% as a decimal4,380
438,000% of 100438,000
438,000% of 1,0004,380,000
As a fraction of 100438,000/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 438,000
Also reads as
#438000 (colour)
- #438000
- Green
- Dark
- Nearest: Olivedrab
#438000 is a green with RGB values 67, 128, 0 and HSL 89°, 100%, 25%. It is a dark colour, so white text on it reaches 4.9:1 contrast (AA for normal text). The nearest named colour is Olivedrab.
Colour values
#438000#438000
HEX#438000
RGBrgb(67, 128, 0)
RGB (0–1)0.2627, 0.502, 0
RGB percentages26.3%, 50.2%, 0%
HSLhsl(88.6, 100%, 25.1%)
HSV / HSBhsv(88.6, 100%, 50.2%)
CMYK47.7%, 0%, 100%, 49.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,423,680
CSS custom property--colour: #438000;
Brightness & contrast
Relative luminance0.16632WCAG 2.x, 0 is black and 1 is white
Perceived brightness104.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 4.85:1
Contrast with white4.85:1WCAG normal text: AA
Contrast with black4.33:1WCAG normal text: Fail
Greyscale equivalent#6A6A6A
Inverted#BC7FFF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text4.85:1WCAG large text: AAA
Contrast with black, large text4.33:1WCAG large text: AA
Named colours
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#3D0080
Analogous#807D00, #038000
Triadic#004380, #800043
Split complementary#000380, #7D0080
Tetradic#00807D, #3D0080, #800003
Tints, shades & saturation
Channel breakdown
R67
G128
B0
Red67 (26.3%)
Green128 (50.2%)
Blue0 (0%)
Hue88.59°
Saturation (HSL)100%
Lightness25.1%
Dominant channelGreen
Hex per channelR 43 · G 80 · B 00
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Harmonies
Similar named colours
Nerdulate something else
Nothing in mind? Surprise me · today’s page