19344

19,344 is an even composite number composed of four prime numbers multiplied together.

What does the number 19344 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

19344 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 19344:

2⁴ × 3 × 13 × 31

(2 × 2 × 2 × 2 × 3 × 13 × 31)

See below for interesting mathematical facts about the number 19344 from the Numbermatics database.

Names of 19344

Cardinal: 19344 can be written as Nineteen thousand, three hundred forty-four.

Scientific notation

Scientific notation: 1.9344 × 10⁴

Factors of 19344

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 49

Divisors of 19344

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344
Sum of all divisors σ(n): 55552
Sum of proper divisors (its aliquot sum) s(n): 36208
19344 is an abundant number, because the sum of its proper divisors (36208) is greater than itself. Its abundance is 16864

Bases of 19344

Binary: 100101110010000₂
Hexadecimal: 0x4B90
Base-36: EXC

Squares and roots of 19344

19344 squared (19344²) is 374190336
19344 cubed (19344³) is 7238337859584
The square root of 19344 is 139.0827092057
The cube root of 19344 is 26.8440946337

Scales and comparisons

How big is 19344?

19,344 seconds is equal to 5 hours, 22 minutes, 24 seconds.
To count from 1 to 19,344 would take you about five 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 19344 cubic inches would be around 2.2 feet tall.

Recreational maths with 19344

19344 backwards is 44391
The number of decimal digits it has is: 5
The sum of 19344's digits is 21
More coming soon!

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The information we have on file for 19344 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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