38400

38,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 38400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

38400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 38400:

29 × 3 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 38400 from the Numbermatics database.

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Names Factors Divisors Scales Roots Fun

Names of 38400

  • Cardinal: 38400 can be written as Thirty-eight thousand, four hundred.

Scientific notation

  • Scientific notation: 3.84 × 104

Factors of 38400

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 12
  • Sum of prime factors: 10

Divisors of 38400

Bases of 38400

  • Binary: 10010110000000002
  • Hexadecimal: 0x9600
  • Base-36: TMO

Squares and roots of 38400

  • 38400 squared (384002) is 1474560000
  • 38400 cubed (384003) is 56623104000000
  • The square root of 38400 is 195.9591794227
  • The cube root of 38400 is 33.7373066119

Scales and comparisons

How big is 38400?
  • 38,400 seconds is equal to 10 hours, 40 minutes.
  • To count from 1 to 38,400 would take you about ten 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 38400 cubic inches would be around 2.8 feet tall.

Recreational maths with 38400

  • 38400 backwards is 00483
  • 38400 is a Harshad number.
  • The number of decimal digits it has is: 5
  • The sum of 38400's digits is 15
  • More coming soon!

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The information we have on file for 38400 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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