930248928
930,248,928 is an even composite number composed of five prime numbers multiplied together.
930248928 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 930248928:
25 × 33 × 73 × 43 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 43 × 73)See below for interesting mathematical facts about the number 930248928 from the Numbermatics database.
Names of 930248928
- Cardinal: 930248928 can be written as Nine hundred thirty million, two hundred forty-eight thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 9.30248928 × 108
Factors of 930248928
Divisors of 930248928
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 63 72 73 84 86 96 98 108 112 126 129 144 146 147 168 172 189 196 216 219 224 252 258 288 292 294 301 336 343 344 378 387 392 432 438 441 504 511 516 584 588 602 657 672 686 688 756 774 784 864 876 882 903 1008 1022 1029 1032 1161 1168 1176 1204 1314 1323 1372 1376 1512 1533 1548 1568 1752 1764 1806 1971 2016 2044 2058 2064 2107 2322 2336 2352 2408 2628 2646 2709 2744 3024 3066 3087 3096 3139 3504 3528 3577 3612 3942 4088 4116 4128 4214 4599 4644 4704 4816 5256 5292 5418 5488 6048 6132 6174 6192 6278 6321 7008 7056 7154 7224 7884 8127 8176 8232 8428 9198 9261 9288 9417 9632 10512 10584 10731 10836 10976 12264 12348 12384 12556 12642 13797 14112 14308 14448 14749 15768 16254 16352 16464 16856 18396 18522 18576 18834 18963 21024 21168 21462 21672 21973 24528 24696 25039 25112 25284 27594 28251 28616 28896 29498 31536 32193 32508 32928 33712 36792 37044 37152 37668 37926 42336 42924 43344 43946 44247 49056 49392 50078 50224 50568 55188 56502 56889 57232 58996 63072 64386 65016 65919 67424 73584 74088 75117 75336 75852 84753 85848 86688 87892 88494 96579 98784 100156 100448 101136 110376 113004 113778 114464 117992 128772 130032 131838 132741 147168 148176 150234 150672 151704 153811 169506 171696 175784 176988 193158 197757 200312 202272 220752 225351 226008 227556 235984 257544 260064 263676 265482 296352 300468 301344 303408 307622 339012 343392 351568 353976 386316 395514 398223 400624 441504 450702 452016 455112 461433 471968 515088 527352 530964 593271 600936 606816 615244 676053 678024 703136 707952 772632 791028 796446 801248 901404 904032 910224 922866 1030176 1054704 1061928 1076677 1186542 1201872 1230488 1352106 1356048 1384299 1415904 1545264 1582056 1592892 1802808 1820448 1845732 2109408 2123856 2153354 2373084 2403744 2460976 2704212 2712096 2768598 3090528 3164112 3185784 3230031 3605616 3691464 4152897 4247712 4306708 4746168 4921952 5408424 5537196 6328224 6371568 6460062 7211232 7382928 8305794 8613416 9492336 9690093 10816848 11074392 12743136 12920124 14765856 16611588 17226832 18984672 19380186 21633696 22148784 25840248 29070279 33223176 34453664 38760372 44297568 51680496 58140558 66446352 77520744 103360992 116281116 132892704 155041488 232562232 310082976 465124464 930248928
- Sum of all divisors σ(n): 3282048000
- Sum of proper divisors (its aliquot sum) s(n): 2351799072
- 930248928 is an abundant number, because the sum of its proper divisors (2351799072) is greater than itself. Its abundance is 1421550144
Bases of 930248928
- Binary: 1101110111001001111000111000002
- Hexadecimal: 0x377278E0
- Base-36: FDUGO0
Squares and roots of 930248928
- 930248928 squared (9302489282) is 865363068045149184
- 930248928 cubed (9302489283) is 805003066379791084016074752
-
The
square root of 930248928 is 30499.9824262245 -
The
cube root of 930248928 is 976.1870890115
Scales and comparisons
How big is 930248928?- 930,248,928 seconds is equal to 29 years, 30 weeks, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 930,248,928 would take you about forty-four 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 930248928 cubic inches would be around 81.3 feet tall.
Recreational maths with 930248928
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