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461,340

461,340 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.).

461,340 (four hundred sixty-one thousand three hundred forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 11 × 233. Its proper divisors sum to 1,071,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70A1C.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical 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
43,164
Square (n²)
212,834,595,600
Cube (n³)
98,189,112,334,104,000
Divisor count
72
σ(n) — sum of divisors
1,533,168
φ(n) — Euler's totient
111,360
Sum of prime factors
259

Primality

Prime factorization: 2 2 × 3 2 × 5 × 11 × 233

Nearest primes: 461,333 (−7) · 461,359 (+19)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 30 · 33 · 36 · 44 · 45 · 55 · 60 · 66 · 90 · 99 · 110 · 132 · 165 · 180 · 198 · 220 · 233 · 330 · 396 · 466 · 495 · 660 · 699 · 932 · 990 · 1165 · 1398 · 1980 · 2097 · 2330 · 2563 · 2796 · 3495 · 4194 · 4660 · 5126 · 6990 · 7689 · 8388 · 10252 · 10485 · 12815 · 13980 · 15378 · 20970 · 23067 · 25630 · 30756 · 38445 · 41940 · 46134 · 51260 · 76890 · 92268 · 115335 · 153780 · 230670 (half) · 461340
Aliquot sum (sum of proper divisors): 1,071,828
Factor pairs (a × b = 461,340)
1 × 461340
2 × 230670
3 × 153780
4 × 115335
5 × 92268
6 × 76890
9 × 51260
10 × 46134
11 × 41940
12 × 38445
15 × 30756
18 × 25630
20 × 23067
22 × 20970
30 × 15378
33 × 13980
36 × 12815
44 × 10485
45 × 10252
55 × 8388
60 × 7689
66 × 6990
90 × 5126
99 × 4660
110 × 4194
132 × 3495
165 × 2796
180 × 2563
198 × 2330
220 × 2097
233 × 1980
330 × 1398
396 × 1165
466 × 990
495 × 932
660 × 699
First multiples
461,340 · 922,680 (double) · 1,384,020 · 1,845,360 · 2,306,700 · 2,768,040 · 3,229,380 · 3,690,720 · 4,152,060 · 4,613,400

Sums & aliquot sequence

As consecutive integers: 153,779 + 153,780 + 153,781 92,266 + 92,267 + 92,268 + 92,269 + 92,270 57,664 + 57,665 + … + 57,671 51,256 + 51,257 + … + 51,264
Aliquot sequence: 461,340 → 1,071,828 → 1,781,932 → 1,464,388 → 1,098,298 → 549,152 → 540,307 → 1 → 0 — terminates at zero

Continued fraction of √n

√461,340 = [679; (4, 1, 1, 5, 2, 1, 1, 1, 9, 1, 2, 1, 7, 4, 1, 338, 1, 4, 7, 1, 2, 1, 9, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-one thousand three hundred forty
Ordinal
461340th
Binary
1110000101000011100
Octal
1605034
Hexadecimal
0x70A1C
Base64
Bwoc
One's complement
4,294,505,955 (32-bit)
Scientific notation
4.6134 × 10⁵
As a duration
461,340 s = 5 days, 8 hours, 9 minutes
In other bases
ternary (3) 212102211200
quaternary (4) 1300220130
quinary (5) 104230330
senary (6) 13515500
septenary (7) 3631005
nonary (9) 772750
undecimal (11) 295680
duodecimal (12) 1a2b90
tridecimal (13) 131ca9
tetradecimal (14) c01ac
pentadecimal (15) 91a60

As an angle

461,340° = 1,281 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξατμʹ
Chinese
四十六萬一千三百四十
Chinese (financial)
肆拾陸萬壹仟參佰肆拾
In other modern scripts
Eastern Arabic ٤٦١٣٤٠ Devanagari ४६१३४० Bengali ৪৬১৩৪০ Tamil ௪௬௧௩௪௦ Thai ๔๖๑๓๔๐ Tibetan ༤༦༡༣༤༠ Khmer ៤៦១៣៤០ Lao ໔໖໑໓໔໐ Burmese ၄၆၁၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461340, here are decompositions:

  • 7 + 461333 = 461340
  • 13 + 461327 = 461340
  • 17 + 461323 = 461340
  • 23 + 461317 = 461340
  • 31 + 461309 = 461340
  • 41 + 461299 = 461340
  • 43 + 461297 = 461340
  • 67 + 461273 = 461340

Showing the first eight; more decompositions exist.

Hex color
#070A1C
RGB(7, 10, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.10.28.

Address
0.7.10.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.10.28

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 461,340 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°.