312 is an even composite number composed of three prime numbers multiplied together.

What does the number 312 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

312 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 312:

23 × 3 × 13

(2 × 2 × 2 × 3 × 13)

See below for interesting mathematical facts about the number 312 from the Numbermatics database.

Names of 312

  • Cardinal: 312 can be written as Three hundred twelve.

Scientific notation

  • Scientific notation: 3.12 × 102

Factors of 312

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 18

Divisors of 312

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 840
  • Sum of proper divisors (its aliquot sum) s(n): 528
  • 312 is an abundant number, because the sum of its proper divisors (528) is greater than itself. Its abundance is 216

Bases of 312

  • Binary: 1001110002
  • Hexadecimal: 0x138
  • Base-36: 8O

Squares and roots of 312

  • 312 squared (3122) is 97344
  • 312 cubed (3123) is 30371328
  • The square root of 312 is 17.6635217327
  • The cube root of 312 is 6.7824228861

Scales and comparisons

How big is 312?
  • 312 seconds is equal to 5 minutes, 12 seconds.
  • To count from 1 to 312 would take you about two minutes.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 312 cubic inches would be around 0.6 feet tall.

Recreational maths with 312

  • 312 backwards is 213
  • 312 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 312's digits is 6
  • More coming soon!

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"Number 312 - Facts about the integer". Numbermatics.com. 2024. Web. 5 March 2024.

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Numbermatics. (2024). Number 312 - Facts about the integer. Retrieved 5 March 2024, from https://numbermatics.com/n/312/

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Numbermatics. 2024. "Number 312 - Facts about the integer". https://numbermatics.com/n/312/

The information we have on file for 312 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 312, math, Factors of 312, curriculum, school, college, exams, university, Prime factorization of 312, STEM, science, technology, engineering, physics, economics, calculator, three hundred twelve.

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