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148,338

148,338 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.).

148,338 (one hundred forty-eight thousand three hundred thirty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 41 × 67. Its proper divisors sum to 194,382, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24372.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,304
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
833,841
Recamán's sequence
a(211,740) = 148,338
Square (n²)
22,004,162,244
Cube (n³)
3,264,053,418,950,472
Divisor count
32
σ(n) — sum of divisors
342,720
φ(n) — Euler's totient
47,520
Sum of prime factors
119

Primality

Prime factorization: 2 × 3 3 × 41 × 67

Nearest primes: 148,331 (−7) · 148,339 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 41 · 54 · 67 · 82 · 123 · 134 · 201 · 246 · 369 · 402 · 603 · 738 · 1107 · 1206 · 1809 · 2214 · 2747 · 3618 · 5494 · 8241 · 16482 · 24723 · 49446 · 74169 (half) · 148338
Aliquot sum (sum of proper divisors): 194,382
Factor pairs (a × b = 148,338)
1 × 148338
2 × 74169
3 × 49446
6 × 24723
9 × 16482
18 × 8241
27 × 5494
41 × 3618
54 × 2747
67 × 2214
82 × 1809
123 × 1206
134 × 1107
201 × 738
246 × 603
369 × 402
First multiples
148,338 · 296,676 (double) · 445,014 · 593,352 · 741,690 · 890,028 · 1,038,366 · 1,186,704 · 1,335,042 · 1,483,380

Sums & aliquot sequence

As consecutive integers: 49,445 + 49,446 + 49,447 37,083 + 37,084 + 37,085 + 37,086 16,478 + 16,479 + … + 16,486 12,356 + 12,357 + … + 12,367
Aliquot sequence: 148,338 194,382 226,818 264,660 545,772 727,724 545,800 723,650 659,074 405,626 249,658 133,670 106,954 56,666 31,354 16,634 8,320 — unresolved within range

Continued fraction of √n

√148,338 = [385; (6, 1, 4, 2, 2, 1, 1, 2, 1, 1, 1, 6, 1, 5, 2, 85, 7, 1, 5, 1, 1, 2, 18, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand three hundred thirty-eight
Ordinal
148338th
Binary
100100001101110010
Octal
441562
Hexadecimal
0x24372
Base64
AkNy
One's complement
4,294,818,957 (32-bit)
Scientific notation
1.48338 × 10⁵
As a duration
148,338 s = 1 day, 17 hours, 12 minutes, 18 seconds
In other bases
ternary (3) 21112111000
quaternary (4) 210031302
quinary (5) 14221323
senary (6) 3102430
septenary (7) 1155321
nonary (9) 245430
undecimal (11) a14a3
duodecimal (12) 71a16
tridecimal (13) 52698
tetradecimal (14) 3c0b8
pentadecimal (15) 2de43

As an angle

148,338° = 412 × 360° + 18°
18° ≈ 0.314 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμητληʹ
Mayan (base 20)
𝋲·𝋪·𝋰·𝋲
Chinese
一十四萬八千三百三十八
Chinese (financial)
壹拾肆萬捌仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٤٨٣٣٨ Devanagari १४८३३८ Bengali ১৪৮৩৩৮ Tamil ௧௪௮௩௩௮ Thai ๑๔๘๓๓๘ Tibetan ༡༤༨༣༣༨ Khmer ១៤៨៣៣៨ Lao ໑໔໘໓໓໘ Burmese ၁၄၈၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148338, here are decompositions:

  • 7 + 148331 = 148338
  • 37 + 148301 = 148338
  • 59 + 148279 = 148338
  • 89 + 148249 = 148338
  • 109 + 148229 = 148338
  • 131 + 148207 = 148338
  • 137 + 148201 = 148338
  • 139 + 148199 = 148338

Showing the first eight; more decompositions exist.

Unicode codepoint
𤍲
CJK Unified Ideograph-24372
U+24372
Other letter (Lo)

UTF-8 encoding: F0 A4 8D B2 (4 bytes).

Hex color
#024372
RGB(2, 67, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.67.114.

Address
0.2.67.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.67.114

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 148,338 and was likely granted around 1873.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.