3404

3,404 is an even composite number composed of three prime numbers multiplied together.

What does the number 3404 look like?

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

3404 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 3404:

22 × 23 × 37

(2 × 2 × 23 × 37)

See below for interesting mathematical facts about the number 3404 from the Numbermatics database.


Names of 3404

  • Cardinal: 3404 can be written as Three thousand, four hundred four.

Scientific notation

  • Scientific notation: 3.404 × 103

Factors of 3404

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 62

Divisors of 3404

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 6384
  • Sum of proper divisors (its aliquot sum) s(n): 2980
  • 3404 is a deficient number, because the sum of its proper divisors (2980) is less than itself. Its deficiency is 424

Bases of 3404

  • Binary: 1101010011002
  • Hexadecimal: 0xD4C
  • Base-36: 2MK

Squares and roots of 3404

  • 3404 squared (34042) is 11587216
  • 3404 cubed (34043) is 39442883264
  • The square root of 3404 is 58.3438085833
  • The cube root of 3404 is 15.0428404927

Scales and comparisons

How big is 3404?
  • 3,404 seconds is equal to 56 minutes, 44 seconds.
  • To count from 1 to 3,404 would take you about fifty-six 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 3404 cubic inches would be around 1.3 feet tall.

Recreational maths with 3404

  • 3404 backwards is 4043
  • The number of decimal digits it has is: 4
  • The sum of 3404's digits is 11
  • More coming soon!

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"Number 3404 - Facts about the integer". Numbermatics.com. 2021. Web. 9 December 2021.

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Numbermatics. (2021). Number 3404 - Facts about the integer. Retrieved 9 December 2021, from https://numbermatics.com/n/3404/

Chicago style:
Numbermatics. 2021. "Number 3404 - Facts about the integer". https://numbermatics.com/n/3404/

The information we have on file for 3404 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 3404, math, Factors of 3404, curriculum, school, college, exams, university, Prime factorization of 3404, STEM, science, technology, engineering, physics, economics, calculator, three thousand, four hundred four.

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