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132,348

132,348 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.).

132,348 (one hundred thirty-two thousand three hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 41 × 269. Its proper divisors sum to 185,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204FC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
843,231
Recamán's sequence
a(227,676) = 132,348
Square (n²)
17,515,993,104
Cube (n³)
2,318,206,655,328,192
Divisor count
24
σ(n) — sum of divisors
317,520
φ(n) — Euler's totient
42,880
Sum of prime factors
317

Primality

Prime factorization: 2 2 × 3 × 41 × 269

Nearest primes: 132,347 (−1) · 132,361 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 41 · 82 · 123 · 164 · 246 · 269 · 492 · 538 · 807 · 1076 · 1614 · 3228 · 11029 · 22058 · 33087 · 44116 · 66174 (half) · 132348
Aliquot sum (sum of proper divisors): 185,172
Factor pairs (a × b = 132,348)
1 × 132348
2 × 66174
3 × 44116
4 × 33087
6 × 22058
12 × 11029
41 × 3228
82 × 1614
123 × 1076
164 × 807
246 × 538
269 × 492
First multiples
132,348 · 264,696 (double) · 397,044 · 529,392 · 661,740 · 794,088 · 926,436 · 1,058,784 · 1,191,132 · 1,323,480

Sums & aliquot sequence

As consecutive integers: 44,115 + 44,116 + 44,117 16,540 + 16,541 + … + 16,547 5,503 + 5,504 + … + 5,526 3,208 + 3,209 + … + 3,248
Aliquot sequence: 132,348 185,172 280,524 383,524 287,650 297,134 178,066 150,254 92,506 52,358 27,994 14,000 24,688 23,176 20,294 10,786 5,396 — unresolved within range

Continued fraction of √n

√132,348 = [363; (1, 3, 1, 11, 7, 1, 4, 1, 2, 9, 1, 1, 1, 1, 2, 3, 31, 2, 1, 18, 1, 180, 1, 18, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred forty-eight
Ordinal
132348th
Binary
100000010011111100
Octal
402374
Hexadecimal
0x204FC
Base64
AgT8
One's complement
4,294,834,947 (32-bit)
Scientific notation
1.32348 × 10⁵
As a duration
132,348 s = 1 day, 12 hours, 45 minutes, 48 seconds
In other bases
ternary (3) 20201112210
quaternary (4) 200103330
quinary (5) 13213343
senary (6) 2500420
septenary (7) 1060566
nonary (9) 221483
undecimal (11) 90487
duodecimal (12) 64710
tridecimal (13) 48318
tetradecimal (14) 36336
pentadecimal (15) 29333

As an angle

132,348° = 367 × 360° + 228°
228° ≈ 3.979 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβτμηʹ
Mayan (base 20)
𝋰·𝋪·𝋱·𝋨
Chinese
一十三萬二千三百四十八
Chinese (financial)
壹拾參萬貳仟參佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٢٣٤٨ Devanagari १३२३४८ Bengali ১৩২৩৪৮ Tamil ௧௩௨௩௪௮ Thai ๑๓๒๓๔๘ Tibetan ༡༣༢༣༤༨ Khmer ១៣២៣៤៨ Lao ໑໓໒໓໔໘ Burmese ၁၃၂၃၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132348, here are decompositions:

  • 17 + 132331 = 132348
  • 19 + 132329 = 132348
  • 61 + 132287 = 132348
  • 101 + 132247 = 132348
  • 107 + 132241 = 132348
  • 149 + 132199 = 132348
  • 179 + 132169 = 132348
  • 191 + 132157 = 132348

Showing the first eight; more decompositions exist.

Unicode codepoint
𠓼
CJK Unified Ideograph-204Fc
U+204FC
Other letter (Lo)

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

Hex color
#0204FC
RGB(2, 4, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.252.

Address
0.2.4.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.252

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 132,348 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 132348 first appears in π at position 383,554 of the decimal expansion (the 383,554ordinal-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°.