13344

13,344 is an even composite number composed of three prime numbers multiplied together.

What does the number 13344 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

13344 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 13344:

2⁵ × 3 × 139

(2 × 2 × 2 × 2 × 2 × 3 × 139)

See below for interesting mathematical facts about the number 13344 from the Numbermatics database.

Names of 13344

Cardinal: 13344 can be written as Thirteen thousand, three hundred forty-four.

Scientific notation

Scientific notation: 1.3344 × 10⁴

Factors of 13344

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 144

Divisors of 13344

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344
Sum of all divisors σ(n): 35280
Sum of proper divisors (its aliquot sum) s(n): 21936
13344 is an abundant number, because the sum of its proper divisors (21936) is greater than itself. Its abundance is 8592

Bases of 13344

Binary: 11010000100000₂
Hexadecimal: 0x3420
Base-36: AAO

Squares and roots of 13344

13344 squared (13344²) is 178062336
13344 cubed (13344³) is 2376063811584
The square root of 13344 is 115.5162326255
The cube root of 13344 is 23.7189437103

Scales and comparisons

How big is 13344?

13,344 seconds is equal to 3 hours, 42 minutes, 24 seconds.
To count from 1 to 13,344 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 13344 cubic inches would be around 2 feet tall.

Recreational maths with 13344

13344 backwards is 44331
The number of decimal digits it has is: 5
The sum of 13344's digits is 15
More coming soon!

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The information we have on file for 13344 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!

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