828830730
828,830,730 is an even composite number composed of seven prime numbers multiplied together.
828830730 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 828830730:
2 × 3 × 5 × 7 × 13 × 192 × 292
(2 × 3 × 5 × 7 × 13 × 19 × 19 × 29 × 29)See below for interesting mathematical facts about the number 828830730 from the Numbermatics database.
Names of 828830730
- Cardinal: 828830730 can be written as Eight hundred twenty-eight million, eight hundred thirty thousand, seven hundred thirty.
Scientific notation
- Scientific notation: 8.2883073 × 108
Factors of 828830730
Divisors of 828830730
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 5 6 7 10 13 14 15 19 21 26 29 30 35 38 39 42 57 58 65 70 78 87 91 95 105 114 130 133 145 174 182 190 195 203 210 247 266 273 285 290 361 377 390 399 406 435 455 494 546 551 570 609 665 722 741 754 798 841 870 910 1015 1083 1102 1131 1218 1235 1330 1365 1482 1653 1682 1729 1805 1885 1995 2030 2166 2262 2470 2523 2527 2639 2730 2755 3045 3306 3458 3610 3705 3770 3857 3990 4205 4693 5046 5054 5187 5278 5415 5510 5655 5887 6090 7163 7410 7581 7714 7917 8265 8410 8645 9386 10374 10469 10830 10933 11310 11571 11774 12615 12635 13195 14079 14326 15162 15834 15979 16530 17290 17661 19285 20938 21489 21866 23142 23465 25230 25270 25935 26390 28158 29435 31407 31958 32799 32851 35322 35815 37905 38570 39585 42978 46930 47937 50141 51870 52345 54665 57855 58870 62814 65598 65702 70395 71630 73283 75810 76531 79170 79895 88305 95874 98553 100282 104690 107445 109330 111853 115710 136097 140790 146566 150423 153062 157035 159790 163995 164255 176610 197106 207727 214890 219849 223706 229593 239685 250705 272194 300846 303601 314070 327990 328510 335559 366415 382655 408291 415454 439698 459186 479370 492765 501410 559265 607202 623181 671118 680485 732830 752115 765310 816582 910803 952679 985530 1038635 1099245 1118530 1147965 1246362 1360970 1454089 1504230 1518005 1677795 1821606 1905358 2041455 2077270 2125207 2198490 2295930 2858037 2908178 3036010 3115905 3355590 3946813 4082910 4250414 4362267 4554015 4763395 5716074 6231810 6375621 7270445 7893626 8724534 9108030 9526790 10626035 11840439 12751242 14290185 14540890 19734065 21252070 21811335 23680878 27627691 28580370 31878105 39468130 43622670 55255382 59202195 63756210 82883073 118404390 138138455 165766146 276276910 414415365 828830730
- Sum of all divisors σ(n): 2676046464
- Sum of proper divisors (its aliquot sum) s(n): 1847215734
- 828830730 is an abundant number, because the sum of its proper divisors (1847215734) is greater than itself. Its abundance is 1018385004
Bases of 828830730
- Binary: 1100010110011011110100000010102
- Hexadecimal: 0x3166F40A
- Base-36: DPGPVU
Squares and roots of 828830730
- 828830730 squared (8288307302) is 686960378992332900
- 828830730 cubed (8288307303) is 569373872401291941910017000
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The
square root of 828830730 is 28789.4204526593 -
The
cube root of 828830730 is 939.3381224155
Scales and comparisons
How big is 828830730?- 828,830,730 seconds is equal to 26 years, 18 weeks, 2 days, 22 hours, 45 minutes, 30 seconds.
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To count from 1 to 828,830,730 would take you about thirty-nine 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 828830730 cubic inches would be around 78.3 feet tall.
Recreational maths with 828830730
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