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132,324

132,324 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.).

132,324 (one hundred thirty-two thousand three hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,027. Its proper divisors sum to 176,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204E4.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
144
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
423,231
Recamán's sequence
a(227,724) = 132,324
Square (n²)
17,509,640,976
Cube (n³)
2,316,945,732,508,224
Divisor count
12
σ(n) — sum of divisors
308,784
φ(n) — Euler's totient
44,104
Sum of prime factors
11,034

Primality

Prime factorization: 2 2 × 3 × 11027

Nearest primes: 132,313 (−11) · 132,329 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11027 · 22054 · 33081 · 44108 · 66162 (half) · 132324
Aliquot sum (sum of proper divisors): 176,460
Factor pairs (a × b = 132,324)
1 × 132324
2 × 66162
3 × 44108
4 × 33081
6 × 22054
12 × 11027
First multiples
132,324 · 264,648 (double) · 396,972 · 529,296 · 661,620 · 793,944 · 926,268 · 1,058,592 · 1,190,916 · 1,323,240

Sums & aliquot sequence

As consecutive integers: 44,107 + 44,108 + 44,109 16,537 + 16,538 + … + 16,544 5,502 + 5,503 + … + 5,525
Aliquot sequence: 132,324 176,460 349,716 475,948 466,532 464,860 600,596 470,656 467,234 233,620 257,024 258,820 284,744 249,166 154,034 77,020 84,764 — unresolved within range

Continued fraction of √n

√132,324 = [363; (1, 3, 4, 3, 13, 1, 21, 1, 4, 7, 1, 1, 1, 1, 1, 3, 2, 1, 1, 10, 1, 3, 2, 55, …)]

Representations

In words
one hundred thirty-two thousand three hundred twenty-four
Ordinal
132324th
Binary
100000010011100100
Octal
402344
Hexadecimal
0x204E4
Base64
AgTk
One's complement
4,294,834,971 (32-bit)
Scientific notation
1.32324 × 10⁵
As a duration
132,324 s = 1 day, 12 hours, 45 minutes, 24 seconds
In other bases
ternary (3) 20201111220
quaternary (4) 200103210
quinary (5) 13213244
senary (6) 2500340
septenary (7) 1060533
nonary (9) 221456
undecimal (11) 90465
duodecimal (12) 646b0
tridecimal (13) 482ca
tetradecimal (14) 3631a
pentadecimal (15) 29319

As an angle

132,324° = 367 × 360° + 204°
204° ≈ 3.56 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβτκδʹ
Mayan (base 20)
𝋰·𝋪·𝋰·𝋤
Chinese
一十三萬二千三百二十四
Chinese (financial)
壹拾參萬貳仟參佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٢٣٢٤ Devanagari १३२३२४ Bengali ১৩২৩২৪ Tamil ௧௩௨௩௨௪ Thai ๑๓๒๓๒๔ Tibetan ༡༣༢༣༢༤ Khmer ១៣២៣២៤ Lao ໑໓໒໓໒໔ Burmese ၁၃၂၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132324, here are decompositions:

  • 11 + 132313 = 132324
  • 37 + 132287 = 132324
  • 41 + 132283 = 132324
  • 61 + 132263 = 132324
  • 67 + 132257 = 132324
  • 83 + 132241 = 132324
  • 151 + 132173 = 132324
  • 167 + 132157 = 132324

Showing the first eight; more decompositions exist.

Unicode codepoint
𠓤
CJK Unified Ideograph-204E4
U+204E4
Other letter (Lo)

UTF-8 encoding: F0 A0 93 A4 (4 bytes).

Hex color
#0204E4
RGB(2, 4, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.228.

Address
0.2.4.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.228

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 132,324 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 132324 first appears in π at position 458,044 of the decimal expansion (the 458,044ordinal-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°.