396493344
396,493,344 is an even composite number composed of five prime numbers multiplied together.
396493344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 396493344:
25 × 32 × 13 × 137 × 773
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 137 × 773)See below for interesting mathematical facts about the number 396493344 from the Numbermatics database.
Names of 396493344
- Cardinal: 396493344 can be written as Three hundred ninety-six million, four hundred ninety-three thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 3.96493344 × 108
Factors of 396493344
Divisors of 396493344
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 137 144 156 208 234 274 288 312 411 416 468 548 624 773 822 936 1096 1233 1248 1546 1644 1781 1872 2192 2319 2466 3092 3288 3562 3744 4384 4638 4932 5343 6184 6576 6957 7124 9276 9864 10049 10686 12368 13152 13914 14248 16029 18552 19728 20098 21372 24736 27828 28496 30147 32058 37104 39456 40196 42744 55656 56992 60294 64116 74208 80392 85488 90441 105901 111312 120588 128232 160784 170976 180882 211802 222624 241176 256464 317703 321568 361764 423604 482352 512928 635406 723528 847208 953109 964704 1270812 1376713 1447056 1694416 1906218 2541624 2753426 2894112 3388832 3812436 4130139 5083248 5506852 7624872 8260278 10166496 11013704 12390417 15249744 16520556 22027408 24780834 30499488 33041112 44054816 49561668 66082224 99123336 132164448 198246672 396493344
- Sum of all divisors σ(n): 1224706392
- Sum of proper divisors (its aliquot sum) s(n): 828213048
- 396493344 is an abundant number, because the sum of its proper divisors (828213048) is greater than itself. Its abundance is 431719704
Bases of 396493344
- Binary: 101111010001000000010001000002
- Hexadecimal: 0x17A20220
- Base-36: 6K2880
Squares and roots of 396493344
- 396493344 squared (3964933442) is 157206971836302336
- 396493344 cubed (3964933443) is 62331517963489333795651584
-
The
square root of 396493344 is 19912.1406182259 -
The
cube root of 396493344 is 734.6468718785
Scales and comparisons
How big is 396493344?- 396,493,344 seconds is equal to 12 years, 31 weeks, 4 days, 1 hour, 2 minutes, 24 seconds.
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To count from 1 to 396,493,344 would take you about eighteen 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 396493344 cubic inches would be around 61.2 feet tall.
Recreational maths with 396493344
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