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474,432

474,432 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

474,432 (four hundred seventy-four thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 7 × 353. Its proper divisors sum to 964,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73D40.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
2,688
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
234,474
Square (n²)
225,085,722,624
Cube (n³)
106,787,869,555,949,568
Divisor count
56
σ(n) — sum of divisors
1,438,656
φ(n) — Euler's totient
135,168
Sum of prime factors
375

Primality

Prime factorization: 2 6 × 3 × 7 × 353

Nearest primes: 474,413 (−19) · 474,433 (+1)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 64 · 84 · 96 · 112 · 168 · 192 · 224 · 336 · 353 · 448 · 672 · 706 · 1059 · 1344 · 1412 · 2118 · 2471 · 2824 · 4236 · 4942 · 5648 · 7413 · 8472 · 9884 · 11296 · 14826 · 16944 · 19768 · 22592 · 29652 · 33888 · 39536 · 59304 · 67776 · 79072 · 118608 · 158144 · 237216 (half) · 474432
Aliquot sum (sum of proper divisors): 964,224
Factor pairs (a × b = 474,432)
1 × 474432
2 × 237216
3 × 158144
4 × 118608
6 × 79072
7 × 67776
8 × 59304
12 × 39536
14 × 33888
16 × 29652
21 × 22592
24 × 19768
28 × 16944
32 × 14826
42 × 11296
48 × 9884
56 × 8472
64 × 7413
84 × 5648
96 × 4942
112 × 4236
168 × 2824
192 × 2471
224 × 2118
336 × 1412
353 × 1344
448 × 1059
672 × 706
First multiples
474,432 · 948,864 (double) · 1,423,296 · 1,897,728 · 2,372,160 · 2,846,592 · 3,321,024 · 3,795,456 · 4,269,888 · 4,744,320

Sums & aliquot sequence

As consecutive integers: 158,143 + 158,144 + 158,145 67,773 + 67,774 + … + 67,779 22,582 + 22,583 + … + 22,602 3,643 + 3,644 + … + 3,770
Aliquot sequence: 474,432 964,224 2,006,016 3,348,936 5,805,924 7,741,260 16,566,660 39,679,740 84,727,620 181,071,144 309,330,066 332,267,694 398,173,626 515,284,218 684,967,302 799,128,558 990,284,562 — unresolved within range

Continued fraction of √n

√474,432 = [688; (1, 3, 1, 3, 3, 2, 1, 343, 1, 2, 3, 3, 1, 3, 1, 1376)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand four hundred thirty-two
Ordinal
474432nd
Binary
1110011110101000000
Octal
1636500
Hexadecimal
0x73D40
Base64
Bz1A
One's complement
4,294,492,863 (32-bit)
Scientific notation
4.74432 × 10⁵
As a duration
474,432 s = 5 days, 11 hours, 47 minutes, 12 seconds
In other bases
ternary (3) 220002210120
quaternary (4) 1303311000
quinary (5) 110140212
senary (6) 14100240
septenary (7) 4014120
nonary (9) 802716
undecimal (11) 2a44a2
duodecimal (12) 1aa680
tridecimal (13) 137c3a
tetradecimal (14) c4c80
pentadecimal (15) 9588c
Palindromic in base 11

As an angle

474,432° = 1,317 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοδυλβʹ
Chinese
四十七萬四千四百三十二
Chinese (financial)
肆拾柒萬肆仟肆佰參拾貳
In other modern scripts
Eastern Arabic ٤٧٤٤٣٢ Devanagari ४७४४३२ Bengali ৪৭৪৪৩২ Tamil ௪௭௪௪௩௨ Thai ๔๗๔๔๓๒ Tibetan ༤༧༤༤༣༢ Khmer ៤៧៤៤៣២ Lao ໔໗໔໔໓໒ Burmese ၄၇၄၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474432, here are decompositions:

  • 19 + 474413 = 474432
  • 41 + 474391 = 474432
  • 43 + 474389 = 474432
  • 53 + 474379 = 474432
  • 73 + 474359 = 474432
  • 89 + 474343 = 474432
  • 113 + 474319 = 474432
  • 191 + 474241 = 474432

Showing the first eight; more decompositions exist.

Hex color
#073D40
RGB(7, 61, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.61.64.

Address
0.7.61.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.61.64

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 474,432 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 474432 first appears in π at position 696,390 of the decimal expansion (the 696,390ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.