396961344
396,961,344 is an even composite number composed of five prime numbers multiplied together.
396961344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 396961344:
26 × 33 × 13 × 41 × 431
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 41 × 431)See below for interesting mathematical facts about the number 396961344 from the Numbermatics database.
Names of 396961344
- Cardinal: 396961344 can be written as Three hundred ninety-six million, nine hundred sixty-one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 3.96961344 × 108
Factors of 396961344
Divisors of 396961344
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 48 52 54 64 72 78 82 96 104 108 117 123 144 156 164 192 208 216 234 246 288 312 328 351 369 416 431 432 468 492 533 576 624 656 702 738 832 862 864 936 984 1066 1107 1248 1293 1312 1404 1476 1599 1724 1728 1872 1968 2132 2214 2496 2586 2624 2808 2952 3198 3448 3744 3879 3936 4264 4428 4797 5172 5603 5616 5904 6396 6896 7488 7758 7872 8528 8856 9594 10344 11206 11232 11637 11808 12792 13792 14391 15516 16809 17056 17671 17712 19188 20688 22412 22464 23274 23616 25584 27584 28782 31032 33618 34112 35342 35424 38376 41376 44824 46548 50427 51168 53013 57564 62064 67236 70684 70848 76752 82752 89648 93096 100854 102336 106026 115128 124128 134472 141368 151281 153504 159039 179296 186192 201708 212052 229723 230256 248256 268944 282736 302562 307008 318078 358592 372384 403416 424104 459446 460512 477117 537888 565472 605124 636156 689169 744768 806832 848208 918892 921024 954234 1075776 1130944 1210248 1272312 1378338 1613664 1696416 1837784 1908468 2067507 2420496 2544624 2756676 3227328 3392832 3675568 3816936 4135014 4840992 5089248 5513352 6202521 7351136 7633872 8270028 9681984 10178496 11026704 12405042 14702272 15267744 16540056 22053408 24810084 30535488 33080112 44106816 49620168 66160224 99240336 132320448 198480672 396961344
- Sum of all divisors σ(n): 1290401280
- Sum of proper divisors (its aliquot sum) s(n): 893439936
- 396961344 is an abundant number, because the sum of its proper divisors (893439936) is greater than itself. Its abundance is 496478592
Bases of 396961344
- Binary: 101111010100100100110010000002
- Hexadecimal: 0x17A92640
- Base-36: 6KC9C0
Squares and roots of 396961344
- 396961344 squared (3969613442) is 157578308630286336
- 396961344 cubed (3969613443) is 62552497179125263043395584
-
The
square root of 396961344 is 19923.8887770437 -
The
cube root of 396961344 is 734.9358044725
Scales and comparisons
How big is 396961344?- 396,961,344 seconds is equal to 12 years, 32 weeks, 2 days, 11 hours, 2 minutes, 24 seconds.
-
To count from 1 to 396,961,344 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 396961344 cubic inches would be around 61.2 feet tall.
Recreational maths with 396961344
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