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

What does the number 364 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

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

Prime factorization of 364:

22 × 7 × 13

(2 × 2 × 7 × 13)

See below for interesting mathematical facts about the number 364 from the Numbermatics database.

Names of 364

  • Cardinal: 364 can be written as Three hundred sixty-four.

Scientific notation

  • Scientific notation: 3.64 × 102

Factors of 364

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 22

Divisors of 364

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 784
  • Sum of proper divisors (its aliquot sum) s(n): 420
  • 364 is an abundant number, because the sum of its proper divisors (420) is greater than itself. Its abundance is 56

Bases of 364

  • Binary: 1011011002
  • Hexadecimal: 0x16C
  • Base-36: A4

Squares and roots of 364

  • 364 squared (3642) is 132496
  • 364 cubed (3643) is 48228544
  • The square root of 364 is 19.0787840283
  • The cube root of 364 is 7.1400369819

Scales and comparisons

How big is 364?
  • 364 seconds is equal to 6 minutes, 4 seconds.
  • To count from 1 to 364 would take you about three 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 364 cubic inches would be around 0.6 feet tall.

Recreational maths with 364

  • 364 backwards is 463
  • 364 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 364's digits is 13
  • More coming soon!

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"Number 364 - Facts about the integer". Numbermatics.com. 2024. Web. 22 July 2024.

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Numbermatics. (2024). Number 364 - Facts about the integer. Retrieved 22 July 2024, from https://numbermatics.com/n/364/

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The information we have on file for 364 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 364, math, Factors of 364, curriculum, school, college, exams, university, Prime factorization of 364, STEM, science, technology, engineering, physics, economics, calculator, three hundred sixty-four.

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