number.wiki
Live analysis

473,440

473,440 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.).

473,440 (four hundred seventy-three thousand four hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 11 × 269. Its proper divisors sum to 751,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73960.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
44,374
Recamán's sequence
a(138,024) = 473,440
Square (n²)
224,145,433,600
Cube (n³)
106,119,414,083,584,000
Divisor count
48
σ(n) — sum of divisors
1,224,720
φ(n) — Euler's totient
171,520
Sum of prime factors
295

Primality

Prime factorization: 2 5 × 5 × 11 × 269

Nearest primes: 473,419 (−21) · 473,441 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 40 · 44 · 55 · 80 · 88 · 110 · 160 · 176 · 220 · 269 · 352 · 440 · 538 · 880 · 1076 · 1345 · 1760 · 2152 · 2690 · 2959 · 4304 · 5380 · 5918 · 8608 · 10760 · 11836 · 14795 · 21520 · 23672 · 29590 · 43040 · 47344 · 59180 · 94688 · 118360 · 236720 (half) · 473440
Aliquot sum (sum of proper divisors): 751,280
Factor pairs (a × b = 473,440)
1 × 473440
2 × 236720
4 × 118360
5 × 94688
8 × 59180
10 × 47344
11 × 43040
16 × 29590
20 × 23672
22 × 21520
32 × 14795
40 × 11836
44 × 10760
55 × 8608
80 × 5918
88 × 5380
110 × 4304
160 × 2959
176 × 2690
220 × 2152
269 × 1760
352 × 1345
440 × 1076
538 × 880
First multiples
473,440 · 946,880 (double) · 1,420,320 · 1,893,760 · 2,367,200 · 2,840,640 · 3,314,080 · 3,787,520 · 4,260,960 · 4,734,400

Sums & aliquot sequence

As consecutive integers: 94,686 + 94,687 + 94,688 + 94,689 + 94,690 43,035 + 43,036 + … + 43,045 8,581 + 8,582 + … + 8,635 7,366 + 7,367 + … + 7,429
Aliquot sequence: 473,440 751,280 995,632 1,109,144 1,080,256 1,063,504 1,155,972 1,541,324 1,156,000 1,861,196 1,395,904 1,539,320 2,046,280 2,557,940 4,234,636 4,234,692 8,087,100 — unresolved within range

Continued fraction of √n

√473,440 = [688; (14, 2, 1, 152, 4, 2, 1, 6, 1, 2, 1, 16, 4, 27, 1, 5, 5, 1, 1, 2, 3, 1, 2, 2, …)]

Representations

In words
four hundred seventy-three thousand four hundred forty
Ordinal
473440th
Binary
1110011100101100000
Octal
1634540
Hexadecimal
0x73960
Base64
Bzlg
One's complement
4,294,493,855 (32-bit)
Scientific notation
4.7344 × 10⁵
As a duration
473,440 s = 5 days, 11 hours, 30 minutes, 40 seconds
In other bases
ternary (3) 220001102211
quaternary (4) 1303211200
quinary (5) 110122230
senary (6) 14051504
septenary (7) 4011202
nonary (9) 801384
undecimal (11) 2a3780
duodecimal (12) 1a9b94
tridecimal (13) 137656
tetradecimal (14) c4772
pentadecimal (15) 9542a

As an angle

473,440° = 1,315 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υογυμʹ
Chinese
四十七萬三千四百四十
Chinese (financial)
肆拾柒萬參仟肆佰肆拾
In other modern scripts
Eastern Arabic ٤٧٣٤٤٠ Devanagari ४७३४४० Bengali ৪৭৩৪৪০ Tamil ௪௭௩௪௪௦ Thai ๔๗๓๔๔๐ Tibetan ༤༧༣༤༤༠ Khmer ៤៧៣៤៤០ Lao ໔໗໓໔໔໐ Burmese ၄၇၃၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473440, here are decompositions:

  • 29 + 473411 = 473440
  • 59 + 473381 = 473440
  • 89 + 473351 = 473440
  • 113 + 473327 = 473440
  • 239 + 473201 = 473440
  • 281 + 473159 = 473440
  • 293 + 473147 = 473440
  • 419 + 473021 = 473440

Showing the first eight; more decompositions exist.

Hex color
#073960
RGB(7, 57, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.96.

Address
0.7.57.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.96

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 473,440 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 473440 first appears in π at position 867,363 of the decimal expansion (the 867,363ordinal-suffix:rd 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°.