380401248
380,401,248 is an even composite number composed of six prime numbers multiplied together.
380401248 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 380401248:
25 × 3 × 17 × 31 × 73 × 103
(2 × 2 × 2 × 2 × 2 × 3 × 17 × 31 × 73 × 103)See below for interesting mathematical facts about the number 380401248 from the Numbermatics database.
Names of 380401248
- Cardinal: 380401248 can be written as Three hundred eighty million, four hundred one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 3.80401248 × 108
Factors of 380401248
Divisors of 380401248
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 73 93 96 102 103 124 136 146 186 204 206 219 248 272 292 309 372 408 412 438 496 527 544 584 618 744 816 824 876 992 1054 1168 1236 1241 1488 1581 1632 1648 1751 1752 2108 2263 2336 2472 2482 2976 3162 3193 3296 3502 3504 3723 4216 4526 4944 4964 5253 6324 6386 6789 7004 7008 7446 7519 8432 9052 9579 9888 9928 10506 12648 12772 13578 14008 14892 15038 16864 18104 19158 19856 21012 22557 25296 25544 27156 28016 29784 30076 36208 38316 38471 39712 42024 45114 50592 51088 54281 54312 56032 59568 60152 72416 76632 76942 84048 90228 102176 108562 108624 115413 119136 120304 127823 153264 153884 162843 168096 180456 217124 217248 230826 233089 240608 255646 306528 307768 325686 360912 383469 434248 461652 466178 511292 615536 651372 699267 721824 766938 868496 923304 932356 1022584 1231072 1302744 1398534 1533876 1736992 1846608 1864712 2045168 2605488 2797068 3067752 3693216 3729424 3962513 4090336 5210976 5594136 6135504 7458848 7925026 11188272 11887539 12271008 15850052 22376544 23775078 31700104 47550156 63400208 95100312 126800416 190200624 380401248
- Sum of all divisors σ(n): 1117089792
- Sum of proper divisors (its aliquot sum) s(n): 736688544
- 380401248 is an abundant number, because the sum of its proper divisors (736688544) is greater than itself. Its abundance is 356287296
Bases of 380401248
- Binary: 101101010110001110110011000002
- Hexadecimal: 0x16AC7660
- Base-36: 6AHBHC
Squares and roots of 380401248
- 380401248 squared (3804012482) is 144705109479957504
- 380401248 cubed (3804012483) is 55046004238152465508564992
-
The
square root of 380401248 is 19503.8777682799 -
The
cube root of 380401248 is 724.5704934407
Scales and comparisons
How big is 380401248?- 380,401,248 seconds is equal to 12 years, 4 weeks, 6 days, 19 hours, 48 seconds.
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To count from 1 to 380,401,248 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 380401248 cubic inches would be around 60.4 feet tall.
Recreational maths with 380401248
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The information we have on file for 380401248 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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