45344

45,344 is an even composite number composed of three prime numbers multiplied together.

What does the number 45344 look like?

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

45344 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 45344:

2⁵ × 13 × 109

(2 × 2 × 2 × 2 × 2 × 13 × 109)

See below for interesting mathematical facts about the number 45344 from the Numbermatics database.

Names of 45344

Cardinal: 45344 can be written as Forty-five thousand, three hundred forty-four.

Scientific notation

Scientific notation: 4.5344 × 10⁴

Factors of 45344

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 124

Divisors of 45344

Number of divisors d(n): 24
Complete list of divisors:
1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1417 1744 2834 3488 5668 11336 22672 45344
Sum of all divisors σ(n): 97020
Sum of proper divisors (its aliquot sum) s(n): 51676
45344 is an abundant number, because the sum of its proper divisors (51676) is greater than itself. Its abundance is 6332

Bases of 45344

Binary: 1011000100100000₂
Hexadecimal: 0xB120
Base-36: YZK

Squares and roots of 45344

45344 squared (45344²) is 2056078336
45344 cubed (45344³) is 93230816067584
The square root of 45344 is 212.9413064673
The cube root of 45344 is 35.6593379805

Scales and comparisons

How big is 45344?

45,344 seconds is equal to 12 hours, 35 minutes, 44 seconds.
To count from 1 to 45,344 would take you about twelve 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 45344 cubic inches would be around 3 feet tall.

Recreational maths with 45344

45344 backwards is 44354
The number of decimal digits it has is: 5
The sum of 45344's digits is 20
More coming soon!

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The information we have on file for 45344 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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