3,204 is an even composite number composed of three prime numbers multiplied together.

What does the number 3204 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

3204 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 3204:

22 × 32 × 89

(2 × 2 × 3 × 3 × 89)

See below for interesting mathematical facts about the number 3204 from the Numbermatics database.

Names of 3204

  • Cardinal: 3204 can be written as Three thousand, two hundred four.

Scientific notation

  • Scientific notation: 3.204 × 103

Factors of 3204

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 94

Divisors of 3204

  • Number of divisors d(n): 18
  • Complete list of divisors:
  • Sum of all divisors σ(n): 8190
  • Sum of proper divisors (its aliquot sum) s(n): 4986
  • 3204 is an abundant number, because the sum of its proper divisors (4986) is greater than itself. Its abundance is 1782

Bases of 3204

  • Binary: 1100100001002
  • Hexadecimal: 0xC84
  • Base-36: 2H0

Squares and roots of 3204

  • 3204 squared (32042) is 10265616
  • 3204 cubed (32043) is 32891033664
  • The square root of 3204 is 56.6038867923
  • The cube root of 3204 is 14.7422634905

Scales and comparisons

How big is 3204?
  • 3,204 seconds is equal to 53 minutes, 24 seconds.
  • To count from 1 to 3,204 would take you about fifty-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 3204 cubic inches would be around 1.2 feet tall.

Recreational maths with 3204

  • 3204 backwards is 4023
  • 3204 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 3204's digits is 9
  • More coming soon!

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The information we have on file for 3204 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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