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470,304

470,304 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.).

470,304 (four hundred seventy thousand three hundred four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 23 × 71. Its proper divisors sum to 944,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72D20.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
403,074
Square (n²)
221,185,852,416
Cube (n³)
104,024,591,134,654,464
Divisor count
72
σ(n) — sum of divisors
1,415,232
φ(n) — Euler's totient
147,840
Sum of prime factors
110

Primality

Prime factorization: 2 5 × 3 2 × 23 × 71

Nearest primes: 470,303 (−1) · 470,317 (+13)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 23 · 24 · 32 · 36 · 46 · 48 · 69 · 71 · 72 · 92 · 96 · 138 · 142 · 144 · 184 · 207 · 213 · 276 · 284 · 288 · 368 · 414 · 426 · 552 · 568 · 639 · 736 · 828 · 852 · 1104 · 1136 · 1278 · 1633 · 1656 · 1704 · 2208 · 2272 · 2556 · 3266 · 3312 · 3408 · 4899 · 5112 · 6532 · 6624 · 6816 · 9798 · 10224 · 13064 · 14697 · 19596 · 20448 · 26128 · 29394 · 39192 · 52256 · 58788 · 78384 · 117576 · 156768 · 235152 (half) · 470304
Aliquot sum (sum of proper divisors): 944,928
Factor pairs (a × b = 470,304)
1 × 470304
2 × 235152
3 × 156768
4 × 117576
6 × 78384
8 × 58788
9 × 52256
12 × 39192
16 × 29394
18 × 26128
23 × 20448
24 × 19596
32 × 14697
36 × 13064
46 × 10224
48 × 9798
69 × 6816
71 × 6624
72 × 6532
92 × 5112
96 × 4899
138 × 3408
142 × 3312
144 × 3266
184 × 2556
207 × 2272
213 × 2208
276 × 1704
284 × 1656
288 × 1633
368 × 1278
414 × 1136
426 × 1104
552 × 852
568 × 828
639 × 736
First multiples
470,304 · 940,608 (double) · 1,410,912 · 1,881,216 · 2,351,520 · 2,821,824 · 3,292,128 · 3,762,432 · 4,232,736 · 4,703,040

Sums & aliquot sequence

As consecutive integers: 156,767 + 156,768 + 156,769 52,252 + 52,253 + … + 52,260 20,437 + 20,438 + … + 20,459 7,317 + 7,318 + … + 7,380
Aliquot sequence: 470,304 944,928 1,915,020 3,894,420 7,250,028 9,745,860 19,607,100 37,123,644 54,057,796 48,518,804 36,389,110 29,220,746 17,901,814 12,787,034 8,768,038 5,032,346 3,344,134 — unresolved within range

Continued fraction of √n

√470,304 = [685; (1, 3, 1, 2, 3, 4, 2, 6, 1, 1, 4, 1, 1, 37, 1, 1, 4, 1, 1, 6, 2, 4, 3, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand three hundred four
Ordinal
470304th
Binary
1110010110100100000
Octal
1626440
Hexadecimal
0x72D20
Base64
By0g
One's complement
4,294,496,991 (32-bit)
Scientific notation
4.70304 × 10⁵
As a duration
470,304 s = 5 days, 10 hours, 38 minutes, 24 seconds
In other bases
ternary (3) 212220010200
quaternary (4) 1302310200
quinary (5) 110022204
senary (6) 14025200
septenary (7) 3666102
nonary (9) 786120
undecimal (11) 2a138a
duodecimal (12) 1a8200
tridecimal (13) 1360b3
tetradecimal (14) c3572
pentadecimal (15) 94539

As an angle

470,304° = 1,306 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοτδʹ
Chinese
四十七萬零三百零四
Chinese (financial)
肆拾柒萬零參佰零肆
In other modern scripts
Eastern Arabic ٤٧٠٣٠٤ Devanagari ४७०३०४ Bengali ৪৭০৩০৪ Tamil ௪௭௦௩௦௪ Thai ๔๗๐๓๐๔ Tibetan ༤༧༠༣༠༤ Khmer ៤៧០៣០៤ Lao ໔໗໐໓໐໔ Burmese ၄၇၀၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470304, here are decompositions:

  • 5 + 470299 = 470304
  • 7 + 470297 = 470304
  • 41 + 470263 = 470304
  • 53 + 470251 = 470304
  • 61 + 470243 = 470304
  • 97 + 470207 = 470304
  • 103 + 470201 = 470304
  • 137 + 470167 = 470304

Showing the first eight; more decompositions exist.

Hex color
#072D20
RGB(7, 45, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.32.

Address
0.7.45.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.32

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 470,304 and was likely granted around 1891.

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

Position in π

The digit sequence 470304 first appears in π at position 151,386 of the decimal expansion (the 151,386ordinal-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°.