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148,352

148,352 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.).

148,352 (one hundred forty-eight thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 19 × 61. Its proper divisors sum to 167,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24380.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
960
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
253,841
Recamán's sequence
a(211,712) = 148,352
Square (n²)
22,008,315,904
Cube (n³)
3,264,977,680,990,208
Divisor count
32
σ(n) — sum of divisors
316,200
φ(n) — Euler's totient
69,120
Sum of prime factors
94

Primality

Prime factorization: 2 7 × 19 × 61

Nearest primes: 148,339 (−13) · 148,361 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 16 · 19 · 32 · 38 · 61 · 64 · 76 · 122 · 128 · 152 · 244 · 304 · 488 · 608 · 976 · 1159 · 1216 · 1952 · 2318 · 2432 · 3904 · 4636 · 7808 · 9272 · 18544 · 37088 · 74176 (half) · 148352
Aliquot sum (sum of proper divisors): 167,848
Factor pairs (a × b = 148,352)
1 × 148352
2 × 74176
4 × 37088
8 × 18544
16 × 9272
19 × 7808
32 × 4636
38 × 3904
61 × 2432
64 × 2318
76 × 1952
122 × 1216
128 × 1159
152 × 976
244 × 608
304 × 488
First multiples
148,352 · 296,704 (double) · 445,056 · 593,408 · 741,760 · 890,112 · 1,038,464 · 1,186,816 · 1,335,168 · 1,483,520

Sums & aliquot sequence

As consecutive integers: 7,799 + 7,800 + … + 7,817 2,402 + 2,403 + … + 2,462 452 + 453 + … + 707
Aliquot sequence: 148,352 167,848 146,882 74,257 1 0 — terminates at zero

Continued fraction of √n

√148,352 = [385; (6, 15, 1, 1, 4, 10, 3, 47, 1, 4, 1, 1, 1, 4, 7, 3, 1, 3, 1, 3, 1, 191, 1, 3, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand three hundred fifty-two
Ordinal
148352nd
Binary
100100001110000000
Octal
441600
Hexadecimal
0x24380
Base64
AkOA
One's complement
4,294,818,943 (32-bit)
Scientific notation
1.48352 × 10⁵
As a duration
148,352 s = 1 day, 17 hours, 12 minutes, 32 seconds
In other bases
ternary (3) 21112111112
quaternary (4) 210032000
quinary (5) 14221402
senary (6) 3102452
septenary (7) 1155341
nonary (9) 245445
undecimal (11) a1506
duodecimal (12) 71a28
tridecimal (13) 526a9
tetradecimal (14) 3c0c8
pentadecimal (15) 2de52

As an angle

148,352° = 412 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμητνβʹ
Mayan (base 20)
𝋲·𝋪·𝋱·𝋬
Chinese
一十四萬八千三百五十二
Chinese (financial)
壹拾肆萬捌仟參佰伍拾貳
In other modern scripts
Eastern Arabic ١٤٨٣٥٢ Devanagari १४८३५२ Bengali ১৪৮৩৫২ Tamil ௧௪௮௩௫௨ Thai ๑๔๘๓๕๒ Tibetan ༡༤༨༣༥༢ Khmer ១៤៨៣៥២ Lao ໑໔໘໓໕໒ Burmese ၁၄၈၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148352, here are decompositions:

  • 13 + 148339 = 148352
  • 73 + 148279 = 148352
  • 103 + 148249 = 148352
  • 109 + 148243 = 148352
  • 151 + 148201 = 148352
  • 181 + 148171 = 148352
  • 199 + 148153 = 148352
  • 229 + 148123 = 148352

Showing the first eight; more decompositions exist.

Unicode codepoint
𤎀
CJK Unified Ideograph-24380
U+24380
Other letter (Lo)

UTF-8 encoding: F0 A4 8E 80 (4 bytes).

Hex color
#024380
RGB(2, 67, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.67.128.

Address
0.2.67.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.67.128

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 148,352 and was likely granted around 1873.

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

Position in π

The digit sequence 148352 first appears in π at position 184,540 of the decimal expansion (the 184,540ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.