Live analysis

120,348

120,348 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.).

120,348 (one hundred twenty thousand three hundred forty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,343. Its proper divisors sum to 183,956, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D61C.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

120,336 120,337 120,338 120,339 120,340 120,341 120,342 120,343 120,344 120,345 120,346 120,347 120,348 120,349 120,350 120,351 120,352 120,353 120,354 120,355 120,356 120,357 120,358 120,359 120,360

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 843,021
Square (n²): 14,483,641,104
Cube (n³): 1,743,077,239,584,192
Divisor count: 18
σ(n) — sum of divisors: 304,304
φ(n) — Euler's totient: 40,104
Sum of prime factors: 3,353

Primality

Prime factorization: 2 ² × 3 ² × 3343

Nearest primes: 120,331 (−17) · 120,349 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3343 · 6686 · 10029 · 13372 · 20058 · 30087 · 40116 · 60174 (half) · 120348

Aliquot sum (sum of proper divisors): 183,956

Factor pairs (a × b = 120,348)

1 × 120348

2 × 60174

3 × 40116

4 × 30087

6 × 20058

9 × 13372

12 × 10029

18 × 6686

36 × 3343

First multiples

120,348 · 240,696 (double) · 361,044 · 481,392 · 601,740 · 722,088 · 842,436 · 962,784 · 1,083,132 · 1,203,480

Sums & aliquot sequence

As consecutive integers: 40,115 + 40,116 + 40,117 15,040 + 15,041 + … + 15,047 13,368 + 13,369 + … + 13,376 5,003 + 5,004 + … + 5,026

Aliquot sequence: 120,348 → 183,956 → 137,974 → 70,826 → 50,614 → 25,310 → 20,266 → 10,136 → 11,704 → 17,096 → 14,974 → 7,490 → 8,062 → 4,538 → 2,272 → 2,264 → 1,996 — unresolved within range

Continued fraction of √n

√120,348 = [346; (1, 10, 2, 1, 1, 1, 25, 14, 8, 3, 2, 8, 7, 2, 2, 1, 2, 1, 11, 1, 1, 1, 14, 9, …)]

Representations

In words: one hundred twenty thousand three hundred forty-eight
Ordinal: 120348th
Binary: 11101011000011100
Octal: 353034
Hexadecimal: 0x1D61C
Base64: AdYc
One's complement: 4,294,846,947 (32-bit)
Scientific notation: 1.20348 × 10⁵
As a duration: 120,348 s = 1 day, 9 hours, 25 minutes, 48 seconds

In other bases

ternary (3) 20010002100

quaternary (4) 131120130

quinary (5) 12322343

senary (6) 2325100

septenary (7) 1010604

nonary (9) 203070

undecimal (11) 82468

duodecimal (12) 59790

tridecimal (13) 42a17

tetradecimal (14) 31c04

pentadecimal (15) 259d3

As an angle

120,348° = 334 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκτμηʹ
Mayan (base 20): 𝋯·𝋠·𝋱·𝋨
Chinese: 一十二萬零三百四十八
Chinese (financial): 壹拾貳萬零參佰肆拾捌

In other modern scripts

Eastern Arabic ١٢٠٣٤٨ Devanagari १२०३४८ Bengali ১২০৩৪৮ Tamil ௧௨௦௩௪௮ Thai ๑๒๐๓๔๘ Tibetan ༡༢༠༣༤༨ Khmer ១២០៣៤៨ Lao ໑໒໐໓໔໘ Burmese ၁၂၀၃၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120348, here are decompositions:

17 + 120331 = 120348
29 + 120319 = 120348
71 + 120277 = 120348
101 + 120247 = 120348
139 + 120209 = 120348
149 + 120199 = 120348
167 + 120181 = 120348
181 + 120167 = 120348

Showing the first eight; more decompositions exist.

Unicode codepoint

𝘜

Mathematical Sans-Serif Italic Capital U

U+1D61C

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 98 9C (4 bytes).

Lookup U+1D61C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D61C

RGB(1, 214, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.28.

Address: 0.1.214.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.214.28

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 120,348 and was likely granted around 1871.

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

Look up US120,348 on Google Patents ↗ Look up on USPTO ↗