968484330
968,484,330 is an even composite number composed of seven prime numbers multiplied together.
968484330 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 968484330:
2 × 33 × 5 × 11 × 31 × 67 × 157
(2 × 3 × 3 × 3 × 5 × 11 × 31 × 67 × 157)See below for interesting mathematical facts about the number 968484330 from the Numbermatics database.
Names of 968484330
- Cardinal: 968484330 can be written as Nine hundred sixty-eight million, four hundred eighty-four thousand, three hundred thirty.
Scientific notation
- Scientific notation: 9.6848433 × 108
Factors of 968484330
Divisors of 968484330
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 67 90 93 99 110 134 135 155 157 165 186 198 201 270 279 297 310 314 330 335 341 402 465 471 495 558 594 603 670 682 737 785 837 930 942 990 1005 1023 1206 1395 1413 1474 1485 1570 1674 1705 1727 1809 2010 2046 2077 2211 2355 2790 2826 2970 3015 3069 3410 3454 3618 3685 4154 4185 4239 4422 4710 4867 5115 5181 6030 6138 6231 6633 7065 7370 8370 8478 8635 9045 9207 9734 10230 10362 10385 10519 11055 12462 13266 14130 14601 15345 15543 17270 18090 18414 18693 19899 20770 21038 21195 22110 22847 24335 25905 29202 30690 31086 31155 31557 33165 37386 39798 42390 43803 45694 46035 46629 48670 51810 52595 53537 56079 62310 63114 66330 68541 73005 77715 87606 92070 93258 93465 94671 99495 105190 107074 112158 114235 115709 131409 137082 146010 155430 157785 160611 186930 189342 198990 205623 219015 228470 231418 233145 262818 267685 280395 284013 315570 321222 326089 342705 347127 411246 438030 466290 473355 481833 535370 560790 568026 578545 616869 652178 657045 685410 694254 803055 946710 963666 978267 1028115 1041381 1157090 1233738 1314090 1420065 1445499 1606110 1630445 1735635 1956534 2056230 2082762 2409165 2840130 2890998 2934801 3084345 3124143 3260890 3471270 3586979 4818330 4891335 5206905 5869602 6168690 6248286 7173958 7227495 8804403 9782670 10413810 10760937 14454990 14674005 15620715 17608806 17934895 21521874 29348010 31241430 32282811 35869790 44022015 53804685 64565622 88044030 96848433 107609370 161414055 193696866 322828110 484242165 968484330
- Sum of all divisors σ(n): 2970501120
- Sum of proper divisors (its aliquot sum) s(n): 2002016790
- 968484330 is an abundant number, because the sum of its proper divisors (2002016790) is greater than itself. Its abundance is 1033532460
Bases of 968484330
- Binary: 1110011011100111100101111010102
- Hexadecimal: 0x39B9E5EA
- Base-36: G0LZAI
Squares and roots of 968484330
- 968484330 squared (9684843302) is 937961897455548900
- 968484330 cubed (9684843303) is 908401399822765981198737000
-
The
square root of 968484330 is 31120.4808767473 -
The
cube root of 968484330 is 989.3824431341
Scales and comparisons
How big is 968484330?- 968,484,330 seconds is equal to 30 years, 41 weeks, 2 days, 7 hours, 25 minutes, 30 seconds.
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To count from 1 to 968,484,330 would take you about forty-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 968484330 cubic inches would be around 82.4 feet tall.
Recreational maths with 968484330
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