398112
398,112 is an even composite number composed of five prime numbers multiplied together.
398112 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 398112:
25 × 3 × 11 × 13 × 29
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 29)See below for interesting mathematical facts about the number 398112 from the Numbermatics database.
Names of 398112
- Cardinal: 398112 can be written as Three hundred ninety-eight thousand, one hundred twelve.
Scientific notation
- Scientific notation: 3.98112 × 105
Factors of 398112
Divisors of 398112
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 29 32 33 39 44 48 52 58 66 78 87 88 96 104 116 132 143 156 174 176 208 232 264 286 312 319 348 352 377 416 429 464 528 572 624 638 696 754 858 928 957 1056 1131 1144 1248 1276 1392 1508 1716 1914 2262 2288 2552 2784 3016 3432 3828 4147 4524 4576 5104 6032 6864 7656 8294 9048 10208 12064 12441 13728 15312 16588 18096 24882 30624 33176 36192 49764 66352 99528 132704 199056 398112
- Sum of all divisors σ(n): 1270080
- Sum of proper divisors (its aliquot sum) s(n): 871968
- 398112 is an abundant number, because the sum of its proper divisors (871968) is greater than itself. Its abundance is 473856
Bases of 398112
- Binary: 11000010011001000002
- Hexadecimal: 0x61320
- Base-36: 8J6O
Squares and roots of 398112
- 398112 squared (3981122) is 158493164544
- 398112 cubed (3981123) is 63098030722940928
-
The
square root of 398112 is 630.9611715471 -
The
cube root of 398112 is 73.5645229145
Scales and comparisons
How big is 398112?- 398,112 seconds is equal to 4 days, 14 hours, 35 minutes, 12 seconds.
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To count from 1 to 398,112 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 398112 cubic inches would be around 6.1 feet tall.
Recreational maths with 398112
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The information we have on file for 398112 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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