380384928
380,384,928 is an even composite number composed of six prime numbers multiplied together.
380384928 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 380384928:
25 × 32 × 7 × 11 × 17 × 1009
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 17 × 1009)See below for interesting mathematical facts about the number 380384928 from the Numbermatics database.
Names of 380384928
- Cardinal: 380384928 can be written as Three hundred eighty million, three hundred eighty-four thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 3.80384928 × 108
Factors of 380384928
Divisors of 380384928
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 28 32 33 34 36 42 44 48 51 56 63 66 68 72 77 84 88 96 99 102 112 119 126 132 136 144 153 154 168 176 187 198 204 224 231 238 252 264 272 288 306 308 336 352 357 374 396 408 462 476 504 528 544 561 612 616 672 693 714 748 792 816 924 952 1008 1009 1056 1071 1122 1224 1232 1309 1386 1428 1496 1584 1632 1683 1848 1904 2016 2018 2142 2244 2448 2464 2618 2772 2856 2992 3027 3168 3366 3696 3808 3927 4036 4284 4488 4896 5236 5544 5712 5984 6054 6732 7063 7392 7854 8072 8568 8976 9081 10472 11088 11099 11424 11781 12108 13464 14126 15708 16144 17136 17153 17952 18162 20944 21189 22176 22198 23562 24216 26928 28252 31416 32288 33297 34272 34306 36324 41888 42378 44396 47124 48432 51459 53856 56504 62832 63567 66594 68612 72648 77693 84756 88792 94248 96864 99891 102918 113008 120071 125664 127134 133188 137224 145296 154377 155386 169512 177584 188496 188683 199782 205836 226016 233079 240142 254268 266376 274448 290592 308754 310772 339024 355168 360213 376992 377366 399564 411672 466158 480284 508536 532752 548896 566049 617508 621544 678048 699237 720426 754732 799128 823344 932316 960568 1017072 1065504 1080639 1132098 1235016 1243088 1320781 1398474 1440852 1509464 1598256 1646688 1698147 1864632 1921136 2034144 2161278 2264196 2470032 2486176 2641562 2796948 2881704 3018928 3196512 3396294 3729264 3842272 3962343 4322556 4528392 4940064 5283124 5593896 5763408 6037856 6792588 7458528 7924686 8645112 9056784 10566248 11187792 11526816 11887029 13585176 15849372 17290224 18113568 21132496 22375584 23774058 27170352 31698744 34580448 42264992 47548116 54340704 63397488 95096232 126794976 190192464 380384928
- Sum of all divisors σ(n): 1429384320
- Sum of proper divisors (its aliquot sum) s(n): 1048999392
- 380384928 is an abundant number, because the sum of its proper divisors (1048999392) is greater than itself. Its abundance is 668614464
Bases of 380384928
- Binary: 101101010110000110110101000002
- Hexadecimal: 0x16AC36A0
- Base-36: 6AGYW0
Squares and roots of 380384928
- 380384928 squared (3803849282) is 144692693449565184
- 380384928 cubed (3803849283) is 55038919779938924147146752
-
The
square root of 380384928 is 19503.4593854527 -
The
cube root of 380384928 is 724.5601314351
Scales and comparisons
How big is 380384928?- 380,384,928 seconds is equal to 12 years, 4 weeks, 6 days, 14 hours, 28 minutes, 48 seconds.
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To count from 1 to 380,384,928 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 380384928 cubic inches would be around 60.4 feet tall.
Recreational maths with 380384928
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"Number 380384928 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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