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134,304

134,304 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.).

134,304 (one hundred thirty-four thousand three hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 1,399. Its proper divisors sum to 218,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20CA0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
403,431
Square (n²)
18,037,564,416
Cube (n³)
2,422,517,051,326,464
Divisor count
24
σ(n) — sum of divisors
352,800
φ(n) — Euler's totient
44,736
Sum of prime factors
1,412

Primality

Prime factorization: 2 5 × 3 × 1399

Nearest primes: 134,293 (−11) · 134,327 (+23)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 1399 · 2798 · 4197 · 5596 · 8394 · 11192 · 16788 · 22384 · 33576 · 44768 · 67152 (half) · 134304
Aliquot sum (sum of proper divisors): 218,496
Factor pairs (a × b = 134,304)
1 × 134304
2 × 67152
3 × 44768
4 × 33576
6 × 22384
8 × 16788
12 × 11192
16 × 8394
24 × 5596
32 × 4197
48 × 2798
96 × 1399
First multiples
134,304 · 268,608 (double) · 402,912 · 537,216 · 671,520 · 805,824 · 940,128 · 1,074,432 · 1,208,736 · 1,343,040

Sums & aliquot sequence

As consecutive integers: 44,767 + 44,768 + 44,769 2,067 + 2,068 + … + 2,130 604 + 605 + … + 795
Aliquot sequence: 134,304 218,496 362,904 544,416 925,248 1,594,432 2,022,528 3,607,872 7,121,088 15,495,072 25,179,744 41,841,168 68,294,640 143,419,488 233,794,272 379,915,944 652,650,456 — unresolved within range

Continued fraction of √n

√134,304 = [366; (2, 9, 1, 1, 5, 1, 1, 1, 2, 1, 3, 5, 1, 3, 1, 2, 1, 5, 1, 4, 4, 1, 11, 2, …)]

Representations

In words
one hundred thirty-four thousand three hundred four
Ordinal
134304th
Binary
100000110010100000
Octal
406240
Hexadecimal
0x20CA0
Base64
Agyg
One's complement
4,294,832,991 (32-bit)
Scientific notation
1.34304 × 10⁵
As a duration
134,304 s = 1 day, 13 hours, 18 minutes, 24 seconds
In other bases
ternary (3) 20211020020
quaternary (4) 200302200
quinary (5) 13244204
senary (6) 2513440
septenary (7) 1066362
nonary (9) 224206
undecimal (11) 919a5
duodecimal (12) 65880
tridecimal (13) 49191
tetradecimal (14) 36d32
pentadecimal (15) 29bd9

As an angle

134,304° = 373 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδτδʹ
Mayan (base 20)
𝋰·𝋯·𝋯·𝋤
Chinese
一十三萬四千三百零四
Chinese (financial)
壹拾參萬肆仟參佰零肆
In other modern scripts
Eastern Arabic ١٣٤٣٠٤ Devanagari १३४३०४ Bengali ১৩৪৩০৪ Tamil ௧௩௪௩௦௪ Thai ๑๓๔๓๐๔ Tibetan ༡༣༤༣༠༤ Khmer ១៣៤៣០៤ Lao ໑໓໔໓໐໔ Burmese ၁၃၄၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134304, here are decompositions:

  • 11 + 134293 = 134304
  • 13 + 134291 = 134304
  • 17 + 134287 = 134304
  • 41 + 134263 = 134304
  • 47 + 134257 = 134304
  • 61 + 134243 = 134304
  • 97 + 134207 = 134304
  • 113 + 134191 = 134304

Showing the first eight; more decompositions exist.

Unicode codepoint
𠲠
CJK Unified Ideograph-20Ca0
U+20CA0
Other letter (Lo)

UTF-8 encoding: F0 A0 B2 A0 (4 bytes).

Hex color
#020CA0
RGB(2, 12, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.12.160.

Address
0.2.12.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.12.160

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 134,304 and was likely granted around 1872.

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

Position in π

The digit sequence 134304 first appears in π at position 225,603 of the decimal expansion (the 225,603ordinal-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°.