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104,340

104,340 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.).

104,340 (one hundred four thousand three hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 37 × 47. Its proper divisors sum to 202,092, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19794.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
43,401
Recamán's sequence
a(92,511) = 104,340
Square (n²)
10,886,835,600
Cube (n³)
1,135,932,426,504,000
Divisor count
48
σ(n) — sum of divisors
306,432
φ(n) — Euler's totient
26,496
Sum of prime factors
96

Primality

Prime factorization: 2 2 × 3 × 5 × 37 × 47

Nearest primes: 104,327 (−13) · 104,347 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 37 · 47 · 60 · 74 · 94 · 111 · 141 · 148 · 185 · 188 · 222 · 235 · 282 · 370 · 444 · 470 · 555 · 564 · 705 · 740 · 940 · 1110 · 1410 · 1739 · 2220 · 2820 · 3478 · 5217 · 6956 · 8695 · 10434 · 17390 · 20868 · 26085 · 34780 · 52170 (half) · 104340
Aliquot sum (sum of proper divisors): 202,092
Factor pairs (a × b = 104,340)
1 × 104340
2 × 52170
3 × 34780
4 × 26085
5 × 20868
6 × 17390
10 × 10434
12 × 8695
15 × 6956
20 × 5217
30 × 3478
37 × 2820
47 × 2220
60 × 1739
74 × 1410
94 × 1110
111 × 940
141 × 740
148 × 705
185 × 564
188 × 555
222 × 470
235 × 444
282 × 370
First multiples
104,340 · 208,680 (double) · 313,020 · 417,360 · 521,700 · 626,040 · 730,380 · 834,720 · 939,060 · 1,043,400

Sums & aliquot sequence

As consecutive integers: 34,779 + 34,780 + 34,781 20,866 + 20,867 + 20,868 + 20,869 + 20,870 13,039 + 13,040 + … + 13,046 6,949 + 6,950 + … + 6,963
Aliquot sequence: 104,340 202,092 312,660 673,248 1,094,280 2,491,320 5,562,600 12,055,320 27,125,640 61,794,360 151,397,640 358,535,160 876,390,840 2,295,996,840 5,421,114,540 12,102,759,828 — keeps growing

Continued fraction of √n

√104,340 = [323; (58, 1, 2, 1, 2, 4, 1, 39, 1, 1, 3, 2, 3, 4, 3, 2, 3, 1, 1, 39, 1, 4, 2, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand three hundred forty
Ordinal
104340th
Binary
11001011110010100
Octal
313624
Hexadecimal
0x19794
Base64
AZeU
One's complement
4,294,862,955 (32-bit)
Scientific notation
1.0434 × 10⁵
As a duration
104,340 s = 1 day, 4 hours, 59 minutes
In other bases
ternary (3) 12022010110
quaternary (4) 121132110
quinary (5) 11314330
senary (6) 2123020
septenary (7) 613125
nonary (9) 168113
undecimal (11) 71435
duodecimal (12) 50470
tridecimal (13) 38652
tetradecimal (14) 2a04c
pentadecimal (15) 20db0

As an angle

104,340° = 289 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρδτμʹ
Mayan (base 20)
𝋭·𝋠·𝋱·𝋠
Chinese
一十萬四千三百四十
Chinese (financial)
壹拾萬肆仟參佰肆拾
In other modern scripts
Eastern Arabic ١٠٤٣٤٠ Devanagari १०४३४० Bengali ১০৪৩৪০ Tamil ௧௦௪௩௪௦ Thai ๑๐๔๓๔๐ Tibetan ༡༠༤༣༤༠ Khmer ១០៤៣៤០ Lao ໑໐໔໓໔໐ Burmese ၁၀၄၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104340, here are decompositions:

  • 13 + 104327 = 104340
  • 17 + 104323 = 104340
  • 29 + 104311 = 104340
  • 31 + 104309 = 104340
  • 43 + 104297 = 104340
  • 53 + 104287 = 104340
  • 59 + 104281 = 104340
  • 97 + 104243 = 104340

Showing the first eight; more decompositions exist.

Hex color
#019794
RGB(1, 151, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.148.

Address
0.1.151.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.148

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 104,340 and was likely granted around 1870.

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

Position in π

The digit sequence 104340 first appears in π at position 807,827 of the decimal expansion (the 807,827ordinal-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°.