16,384 is an even composite number. It is composed of a single prime number multiplied by itself thirteen times.

What does the number 16384 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 15 divisors.

16384 is an even composite number. It is composed of one distinct prime number multiplied by itself thirteen times. It has a total of fifteen divisors.

Prime factorization of 16384:


(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 16384 from the Numbermatics database.

Names of 16384

  • Cardinal: 16384 can be written as Sixteen thousand, three hundred eighty-four.

Scientific notation

  • Scientific notation: 1.6384 × 104

Factors of 16384

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 14
  • Sum of prime factors: 2

Divisors of 16384

  • Number of divisors d(n): 15
  • Complete list of divisors:
  • Sum of all divisors σ(n): 32767
  • Sum of proper divisors (its aliquot sum) s(n): 16383
  • 16384 is a deficient number, because the sum of its proper divisors (16383) is less than itself. Its deficiency is 1

Bases of 16384

  • Binary: 1000000000000002
  • Hexadecimal: 0x4000
  • Base-36: CN4

Squares and roots of 16384

  • 16384 squared (163842) is 268435456
  • 16384 cubed (163843) is 4398046511104
  • 16384 is a perfect square number. Its square root is 128
  • The cube root of 16384 is 25.3984168315

Scales and comparisons

How big is 16384?
  • 16,384 seconds is equal to 4 hours, 33 minutes, 4 seconds.
  • To count from 1 to 16,384 would take you about four 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 16384 cubic inches would be around 2.1 feet tall.

Recreational maths with 16384

  • 16384 backwards is 48361
  • The number of decimal digits it has is: 5
  • The sum of 16384's digits is 22
  • More coming soon!

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"Number 16384 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.

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The information we have on file for 16384 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 16384, math, Factors of 16384, curriculum, school, college, exams, university, Prime factorization of 16384, STEM, science, technology, engineering, physics, economics, calculator, sixteen thousand, three hundred eighty-four.

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