1,944 is an even composite number composed of two prime numbers multiplied together.

What does the number 1944 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 24 divisors.

1944 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 1944:

23 × 35

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 1944 from the Numbermatics database.

Names of 1944

  • Cardinal: 1944 can be written as One thousand, nine hundred forty-four.

Scientific notation

  • Scientific notation: 1.944 × 103

Factors of 1944

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 8
  • Sum of prime factors: 5

Divisors of 1944

  • Number of divisors d(n): 24
  • Complete list of divisors:
  • Sum of all divisors σ(n): 5460
  • Sum of proper divisors (its aliquot sum) s(n): 3516
  • 1944 is an abundant number, because the sum of its proper divisors (3516) is greater than itself. Its abundance is 1572

Bases of 1944

  • Binary: 111100110002
  • Hexadecimal: 0x798
  • Base-36: 1I0

Squares and roots of 1944

  • 1944 squared (19442) is 3779136
  • 1944 cubed (19443) is 7346640384
  • The square root of 1944 is 44.0908153701
  • The cube root of 1944 is 12.4805029383

Scales and comparisons

How big is 1944?
  • 1,944 seconds is equal to 32 minutes, 24 seconds.
  • To count from 1 to 1,944 would take you about thirty-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. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 1944 cubic inches would be around 1 feet tall.

Recreational maths with 1944

  • 1944 backwards is 4491
  • 1944 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1944's digits is 18
  • More coming soon!

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"Number 1944 - Facts about the integer". Numbermatics.com. 2023. Web. 28 May 2023.

APA style:
Numbermatics. (2023). Number 1944 - Facts about the integer. Retrieved 28 May 2023, from https://numbermatics.com/n/1944/

Chicago style:
Numbermatics. 2023. "Number 1944 - Facts about the integer". https://numbermatics.com/n/1944/

The information we have on file for 1944 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!

Keywords: Divisors of 1944, math, Factors of 1944, curriculum, school, college, exams, university, Prime factorization of 1944, STEM, science, technology, engineering, physics, economics, calculator, one thousand, nine hundred forty-four.

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