398934016
398,934,016 is an even composite number composed of three prime numbers multiplied together.
What does the number 398934016 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.
398934016 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.
Prime factorization of 398934016:
214 × 13 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 1873)See below for interesting mathematical facts about the number 398934016 from the Numbermatics database.
Names of 398934016
- Cardinal: 398934016 can be written as Three hundred ninety-eight million, nine hundred thirty-four thousand and sixteen.
Scientific notation
- Scientific notation: 3.98934016 × 108
Factors of 398934016
Divisors of 398934016
- Number of divisors d(n): 60
-
Complete list of divisors:
1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 1873 2048 3328 3746 4096 6656 7492 8192 13312 14984 16384 24349 26624 29968 48698 53248 59936 97396 106496 119872 194792 212992 239744 389584 479488 779168 958976 1558336 1917952 3116672 3835904 6233344 7671808 12466688 15343616 24933376 30687232 49866752 99733504 199467008 398934016
- Sum of all divisors σ(n): 859675012
- Sum of proper divisors (its aliquot sum) s(n): 460740996
- 398934016 is an abundant number, because the sum of its proper divisors (460740996) is greater than itself. Its abundance is 61806980
Bases of 398934016
- Binary: 101111100011101000000000000002
- Hexadecimal: 0x17C74000
- Base-36: 6LIJGG
Squares and roots of 398934016
- 398934016 squared (3989340162) is 159148349121888256
- 398934016 cubed (3989340163) is 63489690054964955469316096
-
The
square root of 398934016 is 19973.3326212727 -
The
cube root of 398934016 is 736.1511976705
Scales and comparisons
How big is 398934016?- 398,934,016 seconds is equal to 12 years, 35 weeks, 4 days, 7 hours, 16 seconds.
-
To count from 1 to 398,934,016 would take you about nineteen years!
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 398934016 cubic inches would be around 61.3 feet tall.
Recreational maths with 398934016
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