122,340
122,340 is a composite number, even.
122,340 (one hundred twenty-two thousand three hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 2,039. Its proper divisors sum to 220,380, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DDE4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 43,221
- Square (n²)
- 14,967,075,600
- Cube (n³)
- 1,831,072,028,904,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 342,720
- φ(n) — Euler's totient
- 32,608
- Sum of prime factors
- 2,051
Primality
Prime factorization: 2 2 × 3 × 5 × 2039
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,340 = [349; (1, 3, 2, 1, 2, 10, 1, 1, 3, 1, 2, 1, 7, 1, 1, 2, 4, 1, 17, 8, 5, 1, 3, 14, …)]
Representations
- In words
- one hundred twenty-two thousand three hundred forty
- Ordinal
- 122340th
- Binary
- 11101110111100100
- Octal
- 356744
- Hexadecimal
- 0x1DDE4
- Base64
- Ad3k
- One's complement
- 4,294,844,955 (32-bit)
- Scientific notation
- 1.2234 × 10⁵
- As a duration
- 122,340 s = 1 day, 9 hours, 59 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκβτμʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋱·𝋠
- Chinese
- 一十二萬二千三百四十
- Chinese (financial)
- 壹拾貳萬貳仟參佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122340, here are decompositions:
- 13 + 122327 = 122340
- 17 + 122323 = 122340
- 19 + 122321 = 122340
- 41 + 122299 = 122340
- 61 + 122279 = 122340
- 67 + 122273 = 122340
- 73 + 122267 = 122340
- 89 + 122251 = 122340
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.228.
- Address
- 0.1.221.228
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.228
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,340 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 122340 first appears in π at position 430,501 of the decimal expansion (the 430,501ordinal-suffix:st 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°.