361728

361,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 361728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

361728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 361728:

2⁸ × 3² × 157

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 157)

See below for interesting mathematical facts about the number 361728 from the Numbermatics database.

Names of 361728

Cardinal: 361728 can be written as Three hundred sixty-one thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 3.61728 × 10⁵

Factors of 361728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 162

Divisors of 361728

Number of divisors d(n): 54
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 576 628 768 942 1152 1256 1413 1884 2304 2512 2826 3768 5024 5652 7536 10048 11304 15072 20096 22608 30144 40192 45216 60288 90432 120576 180864 361728
Sum of all divisors σ(n): 1049594
Sum of proper divisors (its aliquot sum) s(n): 687866
361728 is an abundant number, because the sum of its proper divisors (687866) is greater than itself. Its abundance is 326138

Bases of 361728

Binary: 1011000010100000000₂
Hexadecimal: 0x58500
Base-36: 7R40

Squares and roots of 361728

361728 squared (361728²) is 130847145984
361728 cubed (361728³) is 47331076422500352
The square root of 361728 is 601.4382761349
The cube root of 361728 is 71.2515050467

Scales and comparisons

How big is 361728?

361,728 seconds is equal to 4 days, 4 hours, 28 minutes, 48 seconds.
To count from 1 to 361,728 would take you about four 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 361728 cubic inches would be around 5.9 feet tall.

Recreational maths with 361728

361728 backwards is 827163
The number of decimal digits it has is: 6
The sum of 361728's digits is 27
More coming soon!

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The information we have on file for 361728 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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