393948

393,948 is an even composite number composed of four prime numbers multiplied together.

What does the number 393948 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

393948 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 393948:

2² × 3² × 31 × 353

(2 × 2 × 3 × 3 × 31 × 353)

See below for interesting mathematical facts about the number 393948 from the Numbermatics database.

Names of 393948

Cardinal: 393948 can be written as Three hundred ninety-three thousand, nine hundred forty-eight.

Scientific notation

Scientific notation: 3.93948 × 10⁵

Factors of 393948

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 389

Divisors of 393948

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 353 372 558 706 1059 1116 1412 2118 3177 4236 6354 10943 12708 21886 32829 43772 65658 98487 131316 196974 393948
Sum of all divisors σ(n): 1030848
Sum of proper divisors (its aliquot sum) s(n): 636900
393948 is an abundant number, because the sum of its proper divisors (636900) is greater than itself. Its abundance is 242952

Bases of 393948

Binary: 1100000001011011100₂
Hexadecimal: 0x602DC
Base-36: 8FZ0

Squares and roots of 393948

393948 squared (393948²) is 155195026704
393948 cubed (393948³) is 61138770379987392
The square root of 393948 is 627.6527702481
The cube root of 393948 is 73.3071439999

Scales and comparisons

How big is 393948?

393,948 seconds is equal to 4 days, 13 hours, 25 minutes, 48 seconds.
To count from 1 to 393,948 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 393948 cubic inches would be around 6.1 feet tall.

Recreational maths with 393948

393948 backwards is 849393
393948 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 393948's digits is 36
More coming soon!

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The information we have on file for 393948 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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