13338

13,338 is an even composite number composed of four prime numbers multiplied together.

What does the number 13338 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

13338 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 13338:

2 × 3³ × 13 × 19

(2 × 3 × 3 × 3 × 13 × 19)

See below for interesting mathematical facts about the number 13338 from the Numbermatics database.

Names of 13338

Cardinal: 13338 can be written as Thirteen thousand, three hundred thirty-eight.

Scientific notation

Scientific notation: 1.3338 × 10⁴

Factors of 13338

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 37

Divisors of 13338

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338
Sum of all divisors σ(n): 33600
Sum of proper divisors (its aliquot sum) s(n): 20262
13338 is an abundant number, because the sum of its proper divisors (20262) is greater than itself. Its abundance is 6924

Bases of 13338

Binary: 11010000011010₂
Hexadecimal: 0x341A
Base-36: AAI

Squares and roots of 13338

13338 squared (13338²) is 177902244
13338 cubed (13338³) is 2372860130472
The square root of 13338 is 115.4902593295
The cube root of 13338 is 23.7153881799

Scales and comparisons

How big is 13338?

13,338 seconds is equal to 3 hours, 42 minutes, 18 seconds.
To count from 1 to 13,338 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 13338 cubic inches would be around 2 feet tall.

Recreational maths with 13338

13338 backwards is 83331
13338 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 13338's digits is 18
More coming soon!

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The information we have on file for 13338 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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