61344

61,344 is an even composite number composed of three prime numbers multiplied together.

What does the number 61344 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

61344 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 61344:

2⁵ × 3³ × 71

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 71)

See below for interesting mathematical facts about the number 61344 from the Numbermatics database.

Names of 61344

Cardinal: 61344 can be written as Sixty-one thousand, three hundred forty-four.

Scientific notation

Scientific notation: 6.1344 × 10⁴

Factors of 61344

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 76

Divisors of 61344

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 61344
Sum of all divisors σ(n): 181440
Sum of proper divisors (its aliquot sum) s(n): 120096
61344 is an abundant number, because the sum of its proper divisors (120096) is greater than itself. Its abundance is 58752

Bases of 61344

Binary: 1110111110100000₂
Hexadecimal: 0xEFA0
Base-36: 1BC0

Squares and roots of 61344

61344 squared (61344²) is 3763086336
61344 cubed (61344³) is 230842768195584
The square root of 61344 is 247.6772092867
The cube root of 61344 is 39.4388307087

Scales and comparisons

How big is 61344?

61,344 seconds is equal to 17 hours, 2 minutes, 24 seconds.
To count from 1 to 61,344 would take you about seventeen 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 61344 cubic inches would be around 3.3 feet tall.

Recreational maths with 61344

61344 backwards is 44316
61344 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 61344's digits is 18
More coming soon!

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The information we have on file for 61344 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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