103,400
103,400 is a composite number, even.
103,400 (one hundred three thousand four hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 11 × 47. Its proper divisors sum to 164,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x193E8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 4,301
- Recamán's sequence
- a(95,699) = 103,400
- Square (n²)
- 10,691,560,000
- Cube (n³)
- 1,105,507,304,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 267,840
- φ(n) — Euler's totient
- 36,800
- Sum of prime factors
- 74
Primality
Prime factorization: 2 3 × 5 2 × 11 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,400 = [321; (1, 1, 3, 1, 3, 6, 1, 24, 1, 6, 3, 1, 3, 1, 1, 642)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand four hundred
- Ordinal
- 103400th
- Binary
- 11001001111101000
- Octal
- 311750
- Hexadecimal
- 0x193E8
- Base64
- AZPo
- One's complement
- 4,294,863,895 (32-bit)
- Scientific notation
- 1.034 × 10⁵
- As a duration
- 103,400 s = 1 day, 4 hours, 43 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ργυʹ
- Mayan (base 20)
- 𝋬·𝋲·𝋪·𝋠
- Chinese
- 一十萬三千四百
- Chinese (financial)
- 壹拾萬參仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103400, here are decompositions:
- 7 + 103393 = 103400
- 13 + 103387 = 103400
- 43 + 103357 = 103400
- 67 + 103333 = 103400
- 109 + 103291 = 103400
- 163 + 103237 = 103400
- 223 + 103177 = 103400
- 229 + 103171 = 103400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.147.232.
- Address
- 0.1.147.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.147.232
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 103,400 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.