33664

33,664 is an even composite number composed of two prime numbers multiplied together.

What does the number 33664 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 16 divisors.

33664 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 33664:

27 × 263

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 263)

See below for interesting mathematical facts about the number 33664 from the Numbermatics database.


Names of 33664

  • Cardinal: 33664 can be written as Thirty-three thousand, six hundred sixty-four.

Scientific notation

  • Scientific notation: 3.3664 × 104

Factors of 33664

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 8
  • Sum of prime factors: 265

Divisors of 33664

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 67320
  • Sum of proper divisors (its aliquot sum) s(n): 33656
  • 33664 is a deficient number, because the sum of its proper divisors (33656) is less than itself. Its deficiency is 8

Bases of 33664

  • Binary: 10000011100000002
  • Hexadecimal: 0x8380
  • Base-36: PZ4

Squares and roots of 33664

  • 33664 squared (336642) is 1133264896
  • 33664 cubed (336643) is 38150229458944
  • The square root of 33664 is 183.4775190589
  • The cube root of 33664 is 32.2890479089

Scales and comparisons

How big is 33664?
  • 33,664 seconds is equal to 9 hours, 21 minutes, 4 seconds.
  • To count from 1 to 33,664 would take you about nine 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 33664 cubic inches would be around 2.7 feet tall.

Recreational maths with 33664

  • 33664 backwards is 46633
  • The number of decimal digits it has is: 5
  • The sum of 33664's digits is 22
  • More coming soon!

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"Number 33664 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

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Numbermatics. (2024). Number 33664 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/33664/

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The information we have on file for 33664 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 33664, math, Factors of 33664, curriculum, school, college, exams, university, Prime factorization of 33664, STEM, science, technology, engineering, physics, economics, calculator, thirty-three thousand, six hundred sixty-four.

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