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470,310

470,310 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.).

470,310 (four hundred seventy thousand three hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 61 × 257. Its proper divisors sum to 681,402, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72D26.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
13,074
Square (n²)
221,191,496,100
Cube (n³)
104,028,572,530,791,000
Divisor count
32
σ(n) — sum of divisors
1,151,712
φ(n) — Euler's totient
122,880
Sum of prime factors
328

Primality

Prime factorization: 2 × 3 × 5 × 61 × 257

Nearest primes: 470,303 (−7) · 470,317 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 61 · 122 · 183 · 257 · 305 · 366 · 514 · 610 · 771 · 915 · 1285 · 1542 · 1830 · 2570 · 3855 · 7710 · 15677 · 31354 · 47031 · 78385 · 94062 · 156770 · 235155 (half) · 470310
Aliquot sum (sum of proper divisors): 681,402
Factor pairs (a × b = 470,310)
1 × 470310
2 × 235155
3 × 156770
5 × 94062
6 × 78385
10 × 47031
15 × 31354
30 × 15677
61 × 7710
122 × 3855
183 × 2570
257 × 1830
305 × 1542
366 × 1285
514 × 915
610 × 771
First multiples
470,310 · 940,620 (double) · 1,410,930 · 1,881,240 · 2,351,550 · 2,821,860 · 3,292,170 · 3,762,480 · 4,232,790 · 4,703,100

Sums & aliquot sequence

As consecutive integers: 156,769 + 156,770 + 156,771 117,576 + 117,577 + 117,578 + 117,579 94,060 + 94,061 + 94,062 + 94,063 + 94,064 39,187 + 39,188 + … + 39,198
Aliquot sequence: 470,310 681,402 681,414 685,470 987,522 987,534 1,181,178 1,398,438 2,057,562 2,912,634 3,463,398 4,297,542 4,297,554 5,060,106 5,903,496 10,694,904 20,201,736 — unresolved within range

Continued fraction of √n

√470,310 = [685; (1, 3, 1, 3, 1, 10, 1, 1, 5, 4, 1, 1, 1, 1, 2, 7, 1, 2, 1, 2, 1, 4, 1, 1, …)]

Representations

In words
four hundred seventy thousand three hundred ten
Ordinal
470310th
Binary
1110010110100100110
Octal
1626446
Hexadecimal
0x72D26
Base64
By0m
One's complement
4,294,496,985 (32-bit)
Scientific notation
4.7031 × 10⁵
As a duration
470,310 s = 5 days, 10 hours, 38 minutes, 30 seconds
In other bases
ternary (3) 212220010220
quaternary (4) 1302310212
quinary (5) 110022220
senary (6) 14025210
septenary (7) 3666111
nonary (9) 786126
undecimal (11) 2a1395
duodecimal (12) 1a8206
tridecimal (13) 1360b9
tetradecimal (14) c3578
pentadecimal (15) 94540

As an angle

470,310° = 1,306 × 360° + 150°
150° ≈ 2.618 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆
Greek (Milesian)
͵υοτιʹ
Chinese
四十七萬零三百一十
Chinese (financial)
肆拾柒萬零參佰壹拾
In other modern scripts
Eastern Arabic ٤٧٠٣١٠ Devanagari ४७०३१० Bengali ৪৭০৩১০ Tamil ௪௭௦௩௧௦ Thai ๔๗๐๓๑๐ Tibetan ༤༧༠༣༡༠ Khmer ៤៧០៣១០ Lao ໔໗໐໓໑໐ Burmese ၄၇၀၃၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470310, here are decompositions:

  • 7 + 470303 = 470310
  • 11 + 470299 = 470310
  • 13 + 470297 = 470310
  • 31 + 470279 = 470310
  • 47 + 470263 = 470310
  • 59 + 470251 = 470310
  • 67 + 470243 = 470310
  • 83 + 470227 = 470310

Showing the first eight; more decompositions exist.

Hex color
#072D26
RGB(7, 45, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.38.

Address
0.7.45.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.38

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 470,310 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 470310 first appears in π at position 808,128 of the decimal expansion (the 808,128ordinal-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°.