329728

329,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 329728 look like?

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

329728 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 329728:

2¹¹ × 7 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 23)

See below for interesting mathematical facts about the number 329728 from the Numbermatics database.

Names of 329728

Cardinal: 329728 can be written as Three hundred twenty-nine thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 3.29728 × 10⁵

Factors of 329728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 13
Sum of prime factors: 32

Divisors of 329728

Number of divisors d(n): 48
Complete list of divisors:
1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 1024 1288 1472 1792 2048 2576 2944 3584 5152 5888 7168 10304 11776 14336 20608 23552 41216 47104 82432 164864 329728
Sum of all divisors σ(n): 786240
Sum of proper divisors (its aliquot sum) s(n): 456512
329728 is an abundant number, because the sum of its proper divisors (456512) is greater than itself. Its abundance is 126784

Bases of 329728

Binary: 1010000100000000000₂
Hexadecimal: 0x50800
Base-36: 72F4

Squares and roots of 329728

329728 squared (329728²) is 108720553984
329728 cubed (329728³) is 35848210824036352
The square root of 329728 is 574.2194702377
The cube root of 329728 is 69.0852408679

Scales and comparisons

How big is 329728?

329,728 seconds is equal to 3 days, 19 hours, 35 minutes, 28 seconds.
To count from 1 to 329,728 would take you about three days.

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 329728 cubic inches would be around 5.8 feet tall.

Recreational maths with 329728

329728 backwards is 827923
The number of decimal digits it has is: 6
The sum of 329728's digits is 31
More coming soon!

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The information we have on file for 329728 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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