13734

13,734 is an even composite number composed of four prime numbers multiplied together.

What does the number 13734 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

13734 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 13734:

2 × 3² × 7 × 109

(2 × 3 × 3 × 7 × 109)

See below for interesting mathematical facts about the number 13734 from the Numbermatics database.

Names of 13734

Cardinal: 13734 can be written as Thirteen thousand, seven hundred thirty-four.

Scientific notation

Scientific notation: 1.3734 × 10⁴

Factors of 13734

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 121

Divisors of 13734

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 4578 6867 13734
Sum of all divisors σ(n): 34320
Sum of proper divisors (its aliquot sum) s(n): 20586
13734 is an abundant number, because the sum of its proper divisors (20586) is greater than itself. Its abundance is 6852

Bases of 13734

Binary: 11010110100110₂
Hexadecimal: 0x35A6
Base-36: ALI

Squares and roots of 13734

13734 squared (13734²) is 188622756
13734 cubed (13734³) is 2590544930904
The square root of 13734 is 117.1921499079
The cube root of 13734 is 23.9478032281

Scales and comparisons

How big is 13734?

13,734 seconds is equal to 3 hours, 48 minutes, 54 seconds.
To count from 1 to 13,734 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 13734 cubic inches would be around 2 feet tall.

Recreational maths with 13734

13734 backwards is 43731
13734 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 13734's digits is 18
More coming soon!

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The information we have on file for 13734 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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