1,038,400
1,038,400 is a composite number, even.
1,038,400 (one million thirty-eight thousand four hundred) is an even 7-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 5² × 11 × 59. Its proper divisors sum to 1,796,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFD840.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 48,301
- Square (n²)
- 1,078,274,560,000
- Cube (n³)
- 1,119,680,303,104,000,000
- Divisor count
- 84
- σ(n) — sum of divisors
- 2,834,640
- φ(n) — Euler's totient
- 371,200
- Sum of prime factors
- 92
Primality
Prime factorization: 2 6 × 5 2 × 11 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,038,400 = [1019; (52, 3, 1, 8, 3, 3, 1, 5, 1, 1, 11, 25, 13, 2, 5, 3, 12, 1, 3, 509, 3, 1, 12, 3, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one million thirty-eight thousand four hundred
- Ordinal
- 1038400th
- Binary
- 11111101100001000000
- Octal
- 3754100
- Hexadecimal
- 0xFD840
- Base64
- D9hA
- One's complement
- 4,293,928,895 (32-bit)
- Scientific notation
- 1.0384 × 10⁶
- As a duration
- 1,038,400 s = 12 days, 26 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Chinese
- 一百零三萬八千四百
- Chinese (financial)
- 壹佰零參萬捌仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1038400, here are decompositions:
- 17 + 1038383 = 1038400
- 71 + 1038329 = 1038400
- 89 + 1038311 = 1038400
- 131 + 1038269 = 1038400
- 137 + 1038263 = 1038400
- 149 + 1038251 = 1038400
- 173 + 1038227 = 1038400
- 191 + 1038209 = 1038400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.216.64.
- Address
- 0.15.216.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.216.64
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Monday, January 3, 8400 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 8400-03-01 (DMMYYYY (Euro, single-digit day))
- 8400-10-03 (MMDYYYY (US, single-digit day))
- 8400-03-10 (DDMYYYY (Euro, single-digit month))
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,038,400 and was likely granted around 1912.
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°.