993324384
993,324,384 is an even composite number composed of five prime numbers multiplied together.
993324384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 993324384:
25 × 34 × 13 × 41 × 719
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 41 × 719)See below for interesting mathematical facts about the number 993324384 from the Numbermatics database.
Names of 993324384
- Cardinal: 993324384 can be written as Nine hundred ninety-three million, three hundred twenty-four thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 9.93324384 × 108
Factors of 993324384
Divisors of 993324384
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 48 52 54 72 78 81 82 96 104 108 117 123 144 156 162 164 208 216 234 246 288 312 324 328 351 369 416 432 468 492 533 624 648 656 702 719 738 864 936 984 1053 1066 1107 1248 1296 1312 1404 1438 1476 1599 1872 1968 2106 2132 2157 2214 2592 2808 2876 2952 3198 3321 3744 3936 4212 4264 4314 4428 4797 5616 5752 5904 6396 6471 6642 8424 8528 8628 8856 9347 9594 11232 11504 11808 12792 12942 13284 14391 16848 17056 17256 17712 18694 19188 19413 23008 25584 25884 26568 28041 28782 29479 33696 34512 35424 37388 38376 38826 43173 51168 51768 53136 56082 57564 58239 58958 69024 74776 76752 77652 84123 86346 88437 103536 106272 112164 115128 116478 117916 149552 153504 155304 168246 172692 176874 207072 224328 230256 232956 235832 252369 265311 299104 310608 336492 345384 353748 383227 448656 460512 465912 471664 504738 530622 621216 672984 690768 707496 757107 766454 795933 897312 931824 943328 1009476 1061244 1149681 1345968 1381536 1414992 1514214 1532908 1591866 1863648 2018952 2122488 2299362 2387799 2691936 2829984 3028428 3065816 3183732 3449043 4037904 4244976 4598724 4775598 6056856 6131632 6367464 6898086 8075808 8489952 9197448 9551196 10347129 12113712 12263264 12734928 13796172 18394896 19102392 20694258 24227424 25469856 27592344 31041387 36789792 38204784 41388516 55184688 62082774 76409568 82777032 110369376 124165548 165554064 248331096 331108128 496662192 993324384
- Sum of all divisors σ(n): 3227273280
- Sum of proper divisors (its aliquot sum) s(n): 2233948896
- 993324384 is an abundant number, because the sum of its proper divisors (2233948896) is greater than itself. Its abundance is 1240624512
Bases of 993324384
- Binary: 1110110011010011101101011000002
- Hexadecimal: 0x3B34ED60
- Base-36: GFEE00
Squares and roots of 993324384
- 993324384 squared (9933243842) is 986693331848979456
- 993324384 cubed (9933243843) is 980106546055795099159855104
-
The
square root of 993324384 is 31517.0491004473 -
The
cube root of 993324384 is 997.7698246821
Scales and comparisons
How big is 993324384?- 993,324,384 seconds is equal to 31 years, 30 weeks, 2 days, 19 hours, 26 minutes, 24 seconds.
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To count from 1 to 993,324,384 would take you about forty-seven 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 993324384 cubic inches would be around 83.1 feet tall.
Recreational maths with 993324384
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