398688

398,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 398688 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

398688 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 398688:

2⁵ × 3 × 4153

(2 × 2 × 2 × 2 × 2 × 3 × 4153)

See below for interesting mathematical facts about the number 398688 from the Numbermatics database.

Names of 398688

Cardinal: 398688 can be written as Three hundred ninety-eight thousand, six hundred eighty-eight.

Scientific notation

Scientific notation: 3.98688 × 10⁵

Factors of 398688

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 4158

Divisors of 398688

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 96 4153 8306 12459 16612 24918 33224 49836 66448 99672 132896 199344 398688
Sum of all divisors σ(n): 1046808
Sum of proper divisors (its aliquot sum) s(n): 648120
398688 is an abundant number, because the sum of its proper divisors (648120) is greater than itself. Its abundance is 249432

Bases of 398688

Binary: 1100001010101100000₂
Hexadecimal: 0x61560
Base-36: 8JMO

Squares and roots of 398688

398688 squared (398688²) is 158952121344
398688 cubed (398688³) is 63372303354396672
The square root of 398688 is 631.4174530373
The cube root of 398688 is 73.5999842471

Scales and comparisons

How big is 398688?

398,688 seconds is equal to 4 days, 14 hours, 44 minutes, 48 seconds.
To count from 1 to 398,688 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 398688 cubic inches would be around 6.1 feet tall.

Recreational maths with 398688

398688 backwards is 886893
The number of decimal digits it has is: 6
The sum of 398688's digits is 42
More coming soon!

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The information we have on file for 398688 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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