number.wiki
Live analysis

473,400

473,400 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.).

473,400 (four hundred seventy-three thousand four hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 5² × 263. Its proper divisors sum to 1,122,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73938.

Abundant Number Arithmetic Number Evil Number Gapful 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
4,374
Square (n²)
224,107,560,000
Cube (n³)
106,092,518,904,000,000
Divisor count
72
σ(n) — sum of divisors
1,595,880
φ(n) — Euler's totient
125,760
Sum of prime factors
285

Primality

Prime factorization: 2 3 × 3 2 × 5 2 × 263

Nearest primes: 473,383 (−17) · 473,411 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 25 · 30 · 36 · 40 · 45 · 50 · 60 · 72 · 75 · 90 · 100 · 120 · 150 · 180 · 200 · 225 · 263 · 300 · 360 · 450 · 526 · 600 · 789 · 900 · 1052 · 1315 · 1578 · 1800 · 2104 · 2367 · 2630 · 3156 · 3945 · 4734 · 5260 · 6312 · 6575 · 7890 · 9468 · 10520 · 11835 · 13150 · 15780 · 18936 · 19725 · 23670 · 26300 · 31560 · 39450 · 47340 · 52600 · 59175 · 78900 · 94680 · 118350 · 157800 · 236700 (half) · 473400
Aliquot sum (sum of proper divisors): 1,122,480
Factor pairs (a × b = 473,400)
1 × 473400
2 × 236700
3 × 157800
4 × 118350
5 × 94680
6 × 78900
8 × 59175
9 × 52600
10 × 47340
12 × 39450
15 × 31560
18 × 26300
20 × 23670
24 × 19725
25 × 18936
30 × 15780
36 × 13150
40 × 11835
45 × 10520
50 × 9468
60 × 7890
72 × 6575
75 × 6312
90 × 5260
100 × 4734
120 × 3945
150 × 3156
180 × 2630
200 × 2367
225 × 2104
263 × 1800
300 × 1578
360 × 1315
450 × 1052
526 × 900
600 × 789
First multiples
473,400 · 946,800 (double) · 1,420,200 · 1,893,600 · 2,367,000 · 2,840,400 · 3,313,800 · 3,787,200 · 4,260,600 · 4,734,000

Sums & aliquot sequence

As consecutive integers: 157,799 + 157,800 + 157,801 94,678 + 94,679 + 94,680 + 94,681 + 94,682 52,596 + 52,597 + … + 52,604 31,553 + 31,554 + … + 31,567
Aliquot sequence: 473,400 1,122,480 2,649,600 7,244,856 14,074,344 26,735,256 45,921,744 97,185,168 178,273,392 324,134,928 652,777,372 584,217,716 540,483,484 432,087,332 344,502,328 301,702,352 381,289,648 — unresolved within range

Continued fraction of √n

√473,400 = [688; (24, 1, 1, 2, 1, 27, 2, 1, 2, 1, 1, 10, 1, 3, 1, 5, 1, 1, 2, 1, 6, 2, 18, 1, …)]

Representations

In words
four hundred seventy-three thousand four hundred
Ordinal
473400th
Binary
1110011100100111000
Octal
1634470
Hexadecimal
0x73938
Base64
Bzk4
One's complement
4,294,493,895 (32-bit)
Scientific notation
4.734 × 10⁵
As a duration
473,400 s = 5 days, 11 hours, 30 minutes
In other bases
ternary (3) 220001101100
quaternary (4) 1303210320
quinary (5) 110122100
senary (6) 14051400
septenary (7) 4011114
nonary (9) 801340
undecimal (11) 2a3744
duodecimal (12) 1a9b60
tridecimal (13) 137625
tetradecimal (14) c4744
pentadecimal (15) 95400

As an angle

473,400° = 1,315 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵υογυʹ
Chinese
四十七萬三千四百
Chinese (financial)
肆拾柒萬參仟肆佰
In other modern scripts
Eastern Arabic ٤٧٣٤٠٠ Devanagari ४७३४०० Bengali ৪৭৩৪০০ Tamil ௪௭௩௪௦௦ Thai ๔๗๓๔๐๐ Tibetan ༤༧༣༤༠༠ Khmer ៤៧៣៤០០ Lao ໔໗໓໔໐໐ Burmese ၄၇၃၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473400, here are decompositions:

  • 17 + 473383 = 473400
  • 19 + 473381 = 473400
  • 23 + 473377 = 473400
  • 47 + 473353 = 473400
  • 73 + 473327 = 473400
  • 79 + 473321 = 473400
  • 89 + 473311 = 473400
  • 107 + 473293 = 473400

Showing the first eight; more decompositions exist.

Hex color
#073938
RGB(7, 57, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.56.

Address
0.7.57.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.56

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 473,400 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°.