970,320
970,320 is a composite number, even.
970,320 (nine hundred seventy thousand three hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 13 × 311. Its proper divisors sum to 2,279,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xECE50.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 23,079
- Square (n²)
- 941,520,902,400
- Cube (n³)
- 913,576,562,016,768,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 3,249,792
- φ(n) — Euler's totient
- 238,080
- Sum of prime factors
- 340
Primality
Prime factorization: 2 4 × 3 × 5 × 13 × 311
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√970,320 = [985; (20, 1, 2, 1, 4, 5, 4, 18, 1, 1, 9, 1, 4, 30, 1, 1, 2, 1, 2, 39, 1, 5, 6, 5, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred seventy thousand three hundred twenty
- Ordinal
- 970320th
- Binary
- 11101100111001010000
- Octal
- 3547120
- Hexadecimal
- 0xECE50
- Base64
- Ds5Q
- One's complement
- 4,293,996,975 (32-bit)
- Scientific notation
- 9.7032 × 10⁵
- As a duration
- 970,320 s = 11 days, 5 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ϡοτκʹ
- Chinese
- 九十七萬零三百二十
- Chinese (financial)
- 玖拾柒萬零參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 970320, here are decompositions:
- 7 + 970313 = 970320
- 17 + 970303 = 970320
- 23 + 970297 = 970320
- 41 + 970279 = 970320
- 53 + 970267 = 970320
- 59 + 970261 = 970320
- 61 + 970259 = 970320
- 73 + 970247 = 970320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.14.206.80.
- Address
- 0.14.206.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.14.206.80
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 970,320 and was likely granted around 1910.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 970320 first appears in π at position 351,023 of the decimal expansion (the 351,023ordinal-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°.