2304

2,304 is an even composite number composed of two prime numbers multiplied together.

What does the number 2304 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 27 divisors.

2304 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-seven divisors.

Prime factorization of 2304:

2⁸ × 3²

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3)

See below for interesting mathematical facts about the number 2304 from the Numbermatics database.

Names of 2304

Cardinal: 2304 can be written as Two thousand, three hundred four.

Scientific notation

Scientific notation: 2.304 × 10³

Factors of 2304

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 10
Sum of prime factors: 5

Divisors of 2304

Number of divisors d(n): 27
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304
Sum of all divisors σ(n): 6643
Sum of proper divisors (its aliquot sum) s(n): 4339
2304 is an abundant number, because the sum of its proper divisors (4339) is greater than itself. Its abundance is 2035

Bases of 2304

Binary: 100100000000₂
Hexadecimal: 0x900
Base-36: 1S0

Squares and roots of 2304

2304 squared (2304²) is 5308416
2304 cubed (2304³) is 12230590464
2304 is a perfect square number. Its square root is 48
The cube root of 2304 is 13.2077089955

Scales and comparisons

How big is 2304?

2,304 seconds is equal to 38 minutes, 24 seconds.
To count from 1 to 2,304 would take you about thirty-eight 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 2304 cubic inches would be around 1.1 feet tall.

Recreational maths with 2304

2304 backwards is 4032
2304 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 2304's digits is 9
More coming soon!

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The information we have on file for 2304 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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