768947328
768,947,328 is an even composite number composed of four prime numbers multiplied together.
768947328 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 768947328:
27 × 32 × 192 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 19 × 43 × 43)See below for interesting mathematical facts about the number 768947328 from the Numbermatics database.
Names of 768947328
- Cardinal: 768947328 can be written as Seven hundred sixty-eight million, nine hundred forty-seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 7.68947328 × 108
Factors of 768947328
Divisors of 768947328
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 43 48 57 64 72 76 86 96 114 128 129 144 152 171 172 192 228 258 288 304 342 344 361 384 387 456 516 576 608 684 688 722 774 817 912 1032 1083 1152 1216 1368 1376 1444 1548 1634 1824 1849 2064 2166 2432 2451 2736 2752 2888 3096 3249 3268 3648 3698 4128 4332 4902 5472 5504 5547 5776 6192 6498 6536 7296 7353 7396 8256 8664 9804 10944 11094 11552 12384 12996 13072 14706 14792 15523 16512 16641 17328 19608 21888 22188 23104 24768 25992 26144 29412 29584 31046 33282 34656 35131 39216 44376 46208 46569 49536 51984 52288 58824 59168 62092 66564 69312 70262 78432 88752 93138 103968 104576 105393 117648 118336 124184 133128 138624 139707 140524 156864 177504 186276 207936 210786 235296 236672 248368 266256 279414 281048 313728 316179 355008 372552 415872 421572 470592 496736 532512 558828 562096 632358 667489 710016 745104 843144 941184 993472 1065024 1117656 1124192 1264716 1334978 1490208 1686288 1986944 2002467 2130048 2235312 2248384 2529432 2669956 2980416 3372576 4004934 4470624 4496768 5058864 5339912 5960832 6007401 6745152 8009868 8941248 10117728 10679824 12014802 13490304 16019736 17882496 20235456 21359648 24029604 32039472 40470912 42719296 48059208 64078944 85438592 96118416 128157888 192236832 256315776 384473664 768947328
- Sum of all divisors σ(n): 2390887395
- Sum of proper divisors (its aliquot sum) s(n): 1621940067
- 768947328 is an abundant number, because the sum of its proper divisors (1621940067) is greater than itself. Its abundance is 852992739
Bases of 768947328
- Binary: 1011011101010100110100100000002
- Hexadecimal: 0x2DD53480
- Base-36: CPT7K0
Squares and roots of 768947328
- 768947328 squared (7689473282) is 591279993238339584
- 768947328 cubed (7689473283) is 454663170900479290273431552
-
The
square root of 768947328 is 27729.8995310117 -
The
cube root of 768947328 is 916.1477740015
Scales and comparisons
How big is 768947328?- 768,947,328 seconds is equal to 24 years, 23 weeks, 2 days, 20 hours, 28 minutes, 48 seconds.
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To count from 1 to 768,947,328 would take you about thirty-six 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 768947328 cubic inches would be around 76.3 feet tall.
Recreational maths with 768947328
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