1644

1,644 is an even composite number composed of three prime numbers multiplied together.

What does the number 1644 look like?

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

1644 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 1644:

22 × 3 × 137

(2 × 2 × 3 × 137)

See below for interesting mathematical facts about the number 1644 from the Numbermatics database.


Names of 1644

  • Cardinal: 1644 can be written as One thousand, six hundred forty-four.

Scientific notation

  • Scientific notation: 1.644 × 103

Factors of 1644

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 142

Divisors of 1644

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3864
  • Sum of proper divisors (its aliquot sum) s(n): 2220
  • 1644 is an abundant number, because the sum of its proper divisors (2220) is greater than itself. Its abundance is 576

Bases of 1644

  • Binary: 110011011002
  • Hexadecimal: 0x66C
  • Base-36: 19O

Squares and roots of 1644

  • 1644 squared (16442) is 2702736
  • 1644 cubed (16443) is 4443297984
  • The square root of 1644 is 40.5462698655
  • The cube root of 1644 is 11.8023168869

Scales and comparisons

How big is 1644?
  • 1,644 seconds is equal to 27 minutes, 24 seconds.
  • To count from 1 to 1,644 would take you about twenty-seven 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 1644 cubic inches would be around 1 feet tall.

Recreational maths with 1644

  • 1644 backwards is 4461
  • The number of decimal digits it has is: 4
  • The sum of 1644's digits is 15
  • More coming soon!

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The information we have on file for 1644 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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