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474,032

474,032 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.).

474,032 (four hundred seventy-four thousand thirty-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 43 × 53. Its proper divisors sum to 557,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73BB0.

Abundant Number Happy Number Odious Number Pernicious Number Practical Number Pronic / Oblong Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
230,474
Square (n²)
224,706,337,024
Cube (n³)
106,517,994,352,160,768
Divisor count
40
σ(n) — sum of divisors
1,031,184
φ(n) — Euler's totient
209,664
Sum of prime factors
117

Primality

Prime factorization: 2 4 × 13 × 43 × 53

Nearest primes: 474,029 (−3) · 474,037 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 43 · 52 · 53 · 86 · 104 · 106 · 172 · 208 · 212 · 344 · 424 · 559 · 688 · 689 · 848 · 1118 · 1378 · 2236 · 2279 · 2756 · 4472 · 4558 · 5512 · 8944 · 9116 · 11024 · 18232 · 29627 · 36464 · 59254 · 118508 · 237016 (half) · 474032
Aliquot sum (sum of proper divisors): 557,152
Factor pairs (a × b = 474,032)
1 × 474032
2 × 237016
4 × 118508
8 × 59254
13 × 36464
16 × 29627
26 × 18232
43 × 11024
52 × 9116
53 × 8944
86 × 5512
104 × 4558
106 × 4472
172 × 2756
208 × 2279
212 × 2236
344 × 1378
424 × 1118
559 × 848
688 × 689
First multiples
474,032 · 948,064 (double) · 1,422,096 · 1,896,128 · 2,370,160 · 2,844,192 · 3,318,224 · 3,792,256 · 4,266,288 · 4,740,320

Sums & aliquot sequence

As consecutive integers: 36,458 + 36,459 + … + 36,470 14,798 + 14,799 + … + 14,829 11,003 + 11,004 + … + 11,045 8,918 + 8,919 + … + 8,970
Aliquot sequence: 474,032 557,152 588,944 552,166 276,086 164,362 114,422 99,850 85,964 64,480 104,864 110,596 87,756 121,908 162,572 125,548 94,168 — unresolved within range

Continued fraction of √n

√474,032 = [688; (2, 1376)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand thirty-two
Ordinal
474032nd
Binary
1110011101110110000
Octal
1635660
Hexadecimal
0x73BB0
Base64
Bzuw
One's complement
4,294,493,263 (32-bit)
Scientific notation
4.74032 × 10⁵
As a duration
474,032 s = 5 days, 11 hours, 40 minutes, 32 seconds
In other bases
ternary (3) 220002020202
quaternary (4) 1303232300
quinary (5) 110132112
senary (6) 14054332
septenary (7) 4013006
nonary (9) 802222
undecimal (11) 2a4169
duodecimal (12) 1aa3a8
tridecimal (13) 1379c0
tetradecimal (14) c4a76
pentadecimal (15) 956c2

As an angle

474,032° = 1,316 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοδλβʹ
Chinese
四十七萬四千零三十二
Chinese (financial)
肆拾柒萬肆仟零參拾貳
In other modern scripts
Eastern Arabic ٤٧٤٠٣٢ Devanagari ४७४०३२ Bengali ৪৭৪০৩২ Tamil ௪௭௪௦௩௨ Thai ๔๗๔๐๓๒ Tibetan ༤༧༤༠༣༢ Khmer ៤៧៤០៣២ Lao ໔໗໔໐໓໒ Burmese ၄၇၄၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474032, here are decompositions:

  • 3 + 474029 = 474032
  • 61 + 473971 = 474032
  • 79 + 473953 = 474032
  • 103 + 473929 = 474032
  • 109 + 473923 = 474032
  • 193 + 473839 = 474032
  • 199 + 473833 = 474032
  • 271 + 473761 = 474032

Showing the first eight; more decompositions exist.

Hex color
#073BB0
RGB(7, 59, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.176.

Address
0.7.59.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.59.176

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 474,032 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 474032 first appears in π at position 240,470 of the decimal expansion (the 240,470ordinal-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°.