103,440
103,440 is a composite number, even.
103,440 (one hundred three thousand four hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 431. Its proper divisors sum to 217,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19410.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 44,301
- Recamán's sequence
- a(95,619) = 103,440
- Square (n²)
- 10,699,833,600
- Cube (n³)
- 1,106,790,787,584,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 321,408
- φ(n) — Euler's totient
- 27,520
- Sum of prime factors
- 447
Primality
Prime factorization: 2 4 × 3 × 5 × 431
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,440 = [321; (1, 1, 1, 1, 1, 3, 5, 1, 1, 12, 1, 1, 2, 2, 8, 1, 1, 1, 3, 1, 15, 1, 2, 2, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand four hundred forty
- Ordinal
- 103440th
- Binary
- 11001010000010000
- Octal
- 312020
- Hexadecimal
- 0x19410
- Base64
- AZQQ
- One's complement
- 4,294,863,855 (32-bit)
- Scientific notation
- 1.0344 × 10⁵
- As a duration
- 103,440 s = 1 day, 4 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ργυμʹ
- Mayan (base 20)
- 𝋬·𝋲·𝋬·𝋠
- Chinese
- 一十萬三千四百四十
- Chinese (financial)
- 壹拾萬參仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103440, here are decompositions:
- 17 + 103423 = 103440
- 19 + 103421 = 103440
- 31 + 103409 = 103440
- 41 + 103399 = 103440
- 47 + 103393 = 103440
- 53 + 103387 = 103440
- 83 + 103357 = 103440
- 107 + 103333 = 103440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.148.16.
- Address
- 0.1.148.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.148.16
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 103,440 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 103440 first appears in π at position 38,973 of the decimal expansion (the 38,973ordinal-suffix:rd 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°.