23,328 is an even composite number composed of two prime numbers multiplied together.

What does the number 23328 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 42 divisors.

23328 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 23328:

25 × 36

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 23328 from the Numbermatics database.

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Names Factors Divisors Scales Roots Fun

Names of 23328

  • Cardinal: 23328 can be written as Twenty-three thousand, three hundred twenty-eight.

Scientific notation

  • Scientific notation: 2.3328 × 104

Factors of 23328

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 11
  • Sum of prime factors: 5

Divisors of 23328

Bases of 23328

  • Binary: 1011011001000002
  • Hexadecimal: 0x5B20
  • Base-36: I00

Squares and roots of 23328

  • 23328 squared (233282) is 544195584
  • 23328 cubed (233283) is 12694994583552
  • The square root of 23328 is 152.7350647363
  • The cube root of 23328 is 28.5732189355
  • Being both a perfect square and a perfect cube, 23328 is also a perfect sixth number.

Scales and comparisons

How big is 23328?
  • 23,328 seconds is equal to 6 hours, 28 minutes, 48 seconds.
  • To count from 1 to 23,328 would take you about six hours.

    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 23328 cubic inches would be around 2.4 feet tall.

Recreational maths with 23328

  • 23328 backwards is 82332
  • 23328 is a Harshad number.
  • The number of decimal digits it has is: 5
  • The sum of 23328's digits is 18
  • More coming soon!

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"Number 23328 - Facts about the integer". Numbermatics.com. 2019. Web. 10 December 2019.

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The information we have on file for 23328 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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