3640

3,640 is an even composite number composed of four prime numbers multiplied together.

What does the number 3640 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

3640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 3640:

2³ × 5 × 7 × 13

(2 × 2 × 2 × 5 × 7 × 13)

See below for interesting mathematical facts about the number 3640 from the Numbermatics database.

Names of 3640

Cardinal: 3640 can be written as Three thousand, six hundred forty.

Scientific notation

Scientific notation: 3.64 × 10³

Factors of 3640

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 27

Divisors of 3640

Number of divisors d(n): 32
Complete list of divisors:
1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640
Sum of all divisors σ(n): 10080
Sum of proper divisors (its aliquot sum) s(n): 6440
3640 is an abundant number, because the sum of its proper divisors (6440) is greater than itself. Its abundance is 2800

Bases of 3640

Binary: 111000111000₂
Hexadecimal: 0xE38
Base-36: 2T4

Squares and roots of 3640

3640 squared (3640²) is 13249600
3640 cubed (3640³) is 48228544000
The square root of 3640 is 60.3324125159
The cube root of 3640 is 15.3827433619

Scales and comparisons

How big is 3640?

3,640 seconds is equal to 1 hour, 40 seconds.
To count from 1 to 3,640 would take you about forty seconds.

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 3640 cubic inches would be around 1.3 feet tall.

Recreational maths with 3640

3640 backwards is 0463
3640 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 3640's digits is 13
More coming soon!

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The information we have on file for 3640 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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