431728

431,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 431728 look like?

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

431728 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 431728:

2⁴ × 11² × 223

(2 × 2 × 2 × 2 × 11 × 11 × 223)

See below for interesting mathematical facts about the number 431728 from the Numbermatics database.

Names of 431728

Cardinal: 431728 can be written as Four hundred thirty-one thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 4.31728 × 10⁵

Factors of 431728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 236

Divisors of 431728

Number of divisors d(n): 30
Complete list of divisors:
1 2 4 8 11 16 22 44 88 121 176 223 242 446 484 892 968 1784 1936 2453 3568 4906 9812 19624 26983 39248 53966 107932 215864 431728
Sum of all divisors σ(n): 923552
Sum of proper divisors (its aliquot sum) s(n): 491824
431728 is an abundant number, because the sum of its proper divisors (491824) is greater than itself. Its abundance is 60096

Bases of 431728

Binary: 1101001011001110000₂
Hexadecimal: 0x69670
Base-36: 994G

Squares and roots of 431728

431728 squared (431728²) is 186389065984
431728 cubed (431728³) is 80469378679140352
The square root of 431728 is 657.0601190149
The cube root of 431728 is 75.5793939901

Scales and comparisons

How big is 431728?

431,728 seconds is equal to 4 days, 23 hours, 55 minutes, 28 seconds.
To count from 1 to 431,728 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 431728 cubic inches would be around 6.3 feet tall.

Recreational maths with 431728

431728 backwards is 827134
The number of decimal digits it has is: 6
The sum of 431728's digits is 25
More coming soon!

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The information we have on file for 431728 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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