1,338 is an even composite number composed of three prime numbers multiplied together.

What does the number 1338 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1338 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 1338:

2 × 3 × 223

See below for interesting mathematical facts about the number 1338 from the Numbermatics database.

Names of 1338

  • Cardinal: 1338 can be written as One thousand, three hundred thirty-eight.

Scientific notation

  • Scientific notation: 1.338 × 103

Factors of 1338

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 228

Divisors of 1338

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2688
  • Sum of proper divisors (its aliquot sum) s(n): 1350
  • 1338 is an abundant number, because the sum of its proper divisors (1350) is greater than itself. Its abundance is 12

Bases of 1338

  • Binary: 101001110102
  • Hexadecimal: 0x53A
  • Base-36: 116

Squares and roots of 1338

  • 1338 squared (13382) is 1790244
  • 1338 cubed (13383) is 2395346472
  • The square root of 1338 is 36.5786823163
  • The cube root of 1338 is 11.0192500393

Scales and comparisons

How big is 1338?
  • 1,338 seconds is equal to 22 minutes, 18 seconds.
  • To count from 1 to 1,338 would take you about twenty-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 1338 cubic inches would be around 0.9 feet tall.

Recreational maths with 1338

  • 1338 backwards is 8331
  • The number of decimal digits it has is: 4
  • The sum of 1338's digits is 15
  • More coming soon!

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"Number 1338 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

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Numbermatics. (2023). Number 1338 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/1338/

Chicago style:
Numbermatics. 2023. "Number 1338 - Facts about the integer". https://numbermatics.com/n/1338/

The information we have on file for 1338 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 1338, math, Factors of 1338, curriculum, school, college, exams, university, Prime factorization of 1338, STEM, science, technology, engineering, physics, economics, calculator, one thousand, three hundred thirty-eight.

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