3564

3,564 is an even composite number composed of three prime numbers multiplied together.

What does the number 3564 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

3564 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 3564:

2² × 3⁴ × 11

(2 × 2 × 3 × 3 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 3564 from the Numbermatics database.

Names of 3564

Cardinal: 3564 can be written as Three thousand, five hundred sixty-four.

Scientific notation

Scientific notation: 3.564 × 10³

Factors of 3564

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 16

Divisors of 3564

Number of divisors d(n): 30
Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564
Sum of all divisors σ(n): 10164
Sum of proper divisors (its aliquot sum) s(n): 6600
3564 is an abundant number, because the sum of its proper divisors (6600) is greater than itself. Its abundance is 3036

Bases of 3564

Binary: 110111101100₂
Hexadecimal: 0xDEC
Base-36: 2R0

Squares and roots of 3564

3564 squared (3564²) is 12702096
3564 cubed (3564³) is 45270270144
The square root of 3564 is 59.6992462263
The cube root of 3564 is 15.2749301089

Scales and comparisons

How big is 3564?

3,564 seconds is equal to 59 minutes, 24 seconds.
To count from 1 to 3,564 would take you about fifty-nine minutes.

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 3564 cubic inches would be around 1.3 feet tall.

Recreational maths with 3564

3564 backwards is 4653
3564 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 3564's digits is 18
More coming soon!

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The information we have on file for 3564 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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