343 is an odd composite number. It is composed of a single prime number multiplied by itself two times.

343 is an odd composite number. It is composed of one distinct prime number multiplied by itself two times. It has a total of four divisors.

Prime factorization of 343:


(7 × 7 × 7)

See below for interesting mathematical facts about the number 343 from the Numbermatics database.

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Names Factors Divisors Scales Roots Fun

Names of 343

  • Cardinal: 343 can be written as Three hundred forty-three.

Scientific notation

  • Scientific notation: 3.43 × 102

Factors of 343

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 7

Divisors of 343

  • Number of divisors d(n): 4
  • Complete list of divisors:
    1 7 49 343
  • Sum of all divisors σ(n): 400
  • Sum of proper divisors (its aliquot sum) s(n): 57
  • 343 is a deficient number, because the sum of its proper divisors (57) is less than itself. Its deficiency is 286

Bases of 343

  • Binary: 101010111 2
  • Hexadecimal: 0x157

Squares and roots of 343

  • 343 squared (3432) is 117649
  • 343 cubed (3433) is 40353607
  • The square root of 343 is 18.5202591775
  • 343 is a perfect cube number. Its cube root is 7

Scales and comparisons

How big is 343?
  • 343 seconds is equal to 5 minutes, 43 seconds.
  • To count from 1 to 343 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.

    Note: we do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!

  • A cube with a volume of 343 cubic inches would be around 0.6 feet tall.

Recreational maths with 343

  • 343 is the same when its digits are reversed! That makes it a palindromic number.
  • The number of decimal digits it has is: 3
  • The sum of 343's digits is 10
  • More coming soon!

The information we have on file for 343 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!

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