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473,328

473,328 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.).

473,328 (four hundred seventy-three thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 19 × 173. Its proper divisors sum to 929,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x738F0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
4,032
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
823,374
Square (n²)
224,039,395,584
Cube (n³)
106,044,119,032,983,552
Divisor count
60
σ(n) — sum of divisors
1,402,440
φ(n) — Euler's totient
148,608
Sum of prime factors
206

Primality

Prime factorization: 2 4 × 3 2 × 19 × 173

Nearest primes: 473,327 (−1) · 473,351 (+23)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 19 · 24 · 36 · 38 · 48 · 57 · 72 · 76 · 114 · 144 · 152 · 171 · 173 · 228 · 304 · 342 · 346 · 456 · 519 · 684 · 692 · 912 · 1038 · 1368 · 1384 · 1557 · 2076 · 2736 · 2768 · 3114 · 3287 · 4152 · 6228 · 6574 · 8304 · 9861 · 12456 · 13148 · 19722 · 24912 · 26296 · 29583 · 39444 · 52592 · 59166 · 78888 · 118332 · 157776 · 236664 (half) · 473328
Aliquot sum (sum of proper divisors): 929,112
Factor pairs (a × b = 473,328)
1 × 473328
2 × 236664
3 × 157776
4 × 118332
6 × 78888
8 × 59166
9 × 52592
12 × 39444
16 × 29583
18 × 26296
19 × 24912
24 × 19722
36 × 13148
38 × 12456
48 × 9861
57 × 8304
72 × 6574
76 × 6228
114 × 4152
144 × 3287
152 × 3114
171 × 2768
173 × 2736
228 × 2076
304 × 1557
342 × 1384
346 × 1368
456 × 1038
519 × 912
684 × 692
First multiples
473,328 · 946,656 (double) · 1,419,984 · 1,893,312 · 2,366,640 · 2,839,968 · 3,313,296 · 3,786,624 · 4,259,952 · 4,733,280

Sums & aliquot sequence

As consecutive integers: 157,775 + 157,776 + 157,777 52,588 + 52,589 + … + 52,596 24,903 + 24,904 + … + 24,921 14,776 + 14,777 + … + 14,807
Aliquot sequence: 473,328 929,112 1,393,728 3,141,696 5,171,216 4,848,046 3,750,194 2,886,862 1,837,130 1,469,722 745,178 664,870 602,618 323,482 161,744 180,496 182,204 — unresolved within range

Continued fraction of √n

√473,328 = [687; (1, 84, 1, 1374)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand three hundred twenty-eight
Ordinal
473328th
Binary
1110011100011110000
Octal
1634360
Hexadecimal
0x738F0
Base64
Bzjw
One's complement
4,294,493,967 (32-bit)
Scientific notation
4.73328 × 10⁵
As a duration
473,328 s = 5 days, 11 hours, 28 minutes, 48 seconds
In other bases
ternary (3) 220001021200
quaternary (4) 1303203300
quinary (5) 110121303
senary (6) 14051200
septenary (7) 4010652
nonary (9) 801250
undecimal (11) 2a3689
duodecimal (12) 1a9b00
tridecimal (13) 13759b
tetradecimal (14) c46d2
pentadecimal (15) 953a3

As an angle

473,328° = 1,314 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογτκηʹ
Chinese
四十七萬三千三百二十八
Chinese (financial)
肆拾柒萬參仟參佰貳拾捌
In other modern scripts
Eastern Arabic ٤٧٣٣٢٨ Devanagari ४७३३२८ Bengali ৪৭৩৩২৮ Tamil ௪௭௩௩௨௮ Thai ๔๗๓๓๒๘ Tibetan ༤༧༣༣༢༨ Khmer ៤៧៣៣២៨ Lao ໔໗໓໓໒໘ Burmese ၄၇၃၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473328, here are decompositions:

  • 7 + 473321 = 473328
  • 17 + 473311 = 473328
  • 41 + 473287 = 473328
  • 71 + 473257 = 473328
  • 101 + 473227 = 473328
  • 109 + 473219 = 473328
  • 127 + 473201 = 473328
  • 131 + 473197 = 473328

Showing the first eight; more decompositions exist.

Hex color
#0738F0
RGB(7, 56, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.56.240.

Address
0.7.56.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.56.240

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 473,328 and was likely granted around 1891.

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

Related reading

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