406656

406,656 is an even composite number composed of three prime numbers multiplied together.

What does the number 406656 look like?

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

406656 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 406656:

2⁷ × 3² × 353

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 353)

See below for interesting mathematical facts about the number 406656 from the Numbermatics database.

Names of 406656

Cardinal: 406656 can be written as Four hundred six thousand, six hundred fifty-six.

Scientific notation

Scientific notation: 4.06656 × 10⁵

Factors of 406656

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 358

Divisors of 406656

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 353 384 576 706 1059 1152 1412 2118 2824 3177 4236 5648 6354 8472 11296 12708 16944 22592 25416 33888 45184 50832 67776 101664 135552 203328 406656
Sum of all divisors σ(n): 1173510
Sum of proper divisors (its aliquot sum) s(n): 766854
406656 is an abundant number, because the sum of its proper divisors (766854) is greater than itself. Its abundance is 360198

Bases of 406656

Binary: 1100011010010000000₂
Hexadecimal: 0x63480
Base-36: 8PS0

Squares and roots of 406656

406656 squared (406656²) is 165369102336
406656 cubed (406656³) is 67248337679548416
The square root of 406656 is 637.6958522681
The cube root of 406656 is 74.0870657707

Scales and comparisons

How big is 406656?

406,656 seconds is equal to 4 days, 16 hours, 57 minutes, 36 seconds.
To count from 1 to 406,656 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 406656 cubic inches would be around 6.2 feet tall.

Recreational maths with 406656

406656 backwards is 656604
The number of decimal digits it has is: 6
The sum of 406656's digits is 27
More coming soon!

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The information we have on file for 406656 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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