1,004,400
1,004,400 is a composite number, even.
1,004,400 (one million four thousand four hundred) is an even 7-digit number. It is a composite number with 150 divisors, and factors as 2⁴ × 3⁴ × 5² × 31. Its proper divisors sum to 2,716,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5370.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 44,001
- Square (n²)
- 1,008,819,360,000
- Cube (n³)
- 1,013,258,165,184,000,000
- Divisor count
- 150
- σ(n) — sum of divisors
- 3,720,992
- φ(n) — Euler's totient
- 259,200
- Sum of prime factors
- 61
Primality
Prime factorization: 2 4 × 3 4 × 5 2 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,004,400 = [1002; (5, 16, 2, 1, 2, 1, 4, 2, 1, 222, 45, 1, 1, 4, 1, 1, 45, 222, 1, 2, 4, 1, 2, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one million four thousand four hundred
- Ordinal
- 1004400th
- Binary
- 11110101001101110000
- Octal
- 3651560
- Hexadecimal
- 0xF5370
- Base64
- D1Nw
- One's complement
- 4,293,962,895 (32-bit)
- Scientific notation
- 1.0044 × 10⁶
- As a duration
- 1,004,400 s = 11 days, 15 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Chinese
- 一百萬四千四百
- Chinese (financial)
- 壹佰萬肆仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004400, here are decompositions:
- 29 + 1004371 = 1004400
- 37 + 1004363 = 1004400
- 83 + 1004317 = 1004400
- 97 + 1004303 = 1004400
- 107 + 1004293 = 1004400
- 113 + 1004287 = 1004400
- 127 + 1004273 = 1004400
- 167 + 1004233 = 1004400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.112.
- Address
- 0.15.83.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.83.112
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 1,004,400 and was likely granted around 1911.
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°.