13,408 is an even composite number composed of two prime numbers multiplied together.

What does the number 13408 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

13408 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 13408:

25 × 419

(2 × 2 × 2 × 2 × 2 × 419)

See below for interesting mathematical facts about the number 13408 from the Numbermatics database.

Names of 13408

  • Cardinal: 13408 can be written as Thirteen thousand, four hundred eight.

Scientific notation

  • Scientific notation: 1.3408 × 104

Factors of 13408

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 421

Divisors of 13408

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 26460
  • Sum of proper divisors (its aliquot sum) s(n): 13052
  • 13408 is a deficient number, because the sum of its proper divisors (13052) is less than itself. Its deficiency is 356

Bases of 13408

  • Binary: 110100011000002
  • Hexadecimal: 0x3460
  • Base-36: ACG

Squares and roots of 13408

  • 13408 squared (134082) is 179774464
  • 13408 cubed (134083) is 2410416013312
  • The square root of 13408 is 115.7929186091
  • The cube root of 13408 is 23.7568032221

Scales and comparisons

How big is 13408?
  • 13,408 seconds is equal to 3 hours, 43 minutes, 28 seconds.
  • To count from 1 to 13,408 would take you about three 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 13408 cubic inches would be around 2 feet tall.

Recreational maths with 13408

  • 13408 backwards is 80431
  • 13408 is a Harshad number.
  • The number of decimal digits it has is: 5
  • The sum of 13408's digits is 16
  • More coming soon!

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"Number 13408 - Facts about the integer". Numbermatics.com. 2021. Web. 20 October 2021.

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Numbermatics. (2021). Number 13408 - Facts about the integer. Retrieved 20 October 2021, from https://numbermatics.com/n/13408/

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The information we have on file for 13408 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 13408, math, Factors of 13408, curriculum, school, college, exams, university, Prime factorization of 13408, STEM, science, technology, engineering, physics, economics, calculator, thirteen thousand, four hundred eight.

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