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473,364

473,364 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.).

473,364 (four hundred seventy-three thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3⁵ × 487. Its proper divisors sum to 770,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73914.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
6,048
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
463,374
Square (n²)
224,073,476,496
Cube (n³)
106,068,317,128,052,544
Divisor count
36
σ(n) — sum of divisors
1,243,424
φ(n) — Euler's totient
157,464
Sum of prime factors
506

Primality

Prime factorization: 2 2 × 3 5 × 487

Nearest primes: 473,353 (−11) · 473,377 (+13)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 108 · 162 · 243 · 324 · 486 · 487 · 972 · 974 · 1461 · 1948 · 2922 · 4383 · 5844 · 8766 · 13149 · 17532 · 26298 · 39447 · 52596 · 78894 · 118341 · 157788 · 236682 (half) · 473364
Aliquot sum (sum of proper divisors): 770,060
Factor pairs (a × b = 473,364)
1 × 473364
2 × 236682
3 × 157788
4 × 118341
6 × 78894
9 × 52596
12 × 39447
18 × 26298
27 × 17532
36 × 13149
54 × 8766
81 × 5844
108 × 4383
162 × 2922
243 × 1948
324 × 1461
486 × 974
487 × 972
First multiples
473,364 · 946,728 (double) · 1,420,092 · 1,893,456 · 2,366,820 · 2,840,184 · 3,313,548 · 3,786,912 · 4,260,276 · 4,733,640

Sums & aliquot sequence

As consecutive integers: 157,787 + 157,788 + 157,789 59,167 + 59,168 + … + 59,174 52,592 + 52,593 + … + 52,600 19,712 + 19,713 + … + 19,735
Aliquot sequence: 473,364 770,060 864,580 969,980 1,252,660 1,377,968 1,331,680 2,478,560 4,216,576 6,199,648 8,829,632 11,195,728 10,496,026 5,619,014 2,809,510 2,707,562 2,064,310 — unresolved within range

Continued fraction of √n

√473,364 = [688; (68, 1, 4, 54, 1, 5, 3, 1, 1, 1, 124, 2, 5, 6, 13, 1, 2, 1, 4, 3, 1, 6, 1, 5, …)]

Representations

In words
four hundred seventy-three thousand three hundred sixty-four
Ordinal
473364th
Binary
1110011100100010100
Octal
1634424
Hexadecimal
0x73914
Base64
BzkU
One's complement
4,294,493,931 (32-bit)
Scientific notation
4.73364 × 10⁵
As a duration
473,364 s = 5 days, 11 hours, 29 minutes, 24 seconds
In other bases
ternary (3) 220001100000
quaternary (4) 1303210110
quinary (5) 110121424
senary (6) 14051300
septenary (7) 4011033
nonary (9) 801300
undecimal (11) 2a3711
duodecimal (12) 1a9b30
tridecimal (13) 1375c8
tetradecimal (14) c471a
pentadecimal (15) 953c9

As an angle

473,364° = 1,314 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογτξδʹ
Chinese
四十七萬三千三百六十四
Chinese (financial)
肆拾柒萬參仟參佰陸拾肆
In other modern scripts
Eastern Arabic ٤٧٣٣٦٤ Devanagari ४७३३६४ Bengali ৪৭৩৩৬৪ Tamil ௪௭௩௩௬௪ Thai ๔๗๓๓๖๔ Tibetan ༤༧༣༣༦༤ Khmer ៤៧៣៣៦៤ Lao ໔໗໓໓໖໔ Burmese ၄၇၃၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473364, here are decompositions:

  • 11 + 473353 = 473364
  • 13 + 473351 = 473364
  • 37 + 473327 = 473364
  • 43 + 473321 = 473364
  • 53 + 473311 = 473364
  • 71 + 473293 = 473364
  • 107 + 473257 = 473364
  • 137 + 473227 = 473364

Showing the first eight; more decompositions exist.

Hex color
#073914
RGB(7, 57, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.20.

Address
0.7.57.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.20

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 473,364 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°.