385968960
385,968,960 is an even composite number composed of five prime numbers multiplied together.
385968960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 385968960:
26 × 32 × 5 × 133 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 61)See below for interesting mathematical facts about the number 385968960 from the Numbermatics database.
Names of 385968960
- Cardinal: 385968960 can be written as Three hundred eighty-five million, nine hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.8596896 × 108
Factors of 385968960
Divisors of 385968960
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 61 64 65 72 78 80 90 96 104 117 120 122 130 144 156 160 169 180 183 192 195 208 234 240 244 260 288 305 312 320 338 360 366 390 416 468 480 488 507 520 549 576 585 610 624 676 720 732 780 793 832 845 915 936 960 976 1014 1040 1098 1170 1220 1248 1352 1440 1464 1521 1560 1586 1690 1830 1872 1952 2028 2080 2196 2197 2340 2379 2440 2496 2535 2704 2745 2880 2928 3042 3120 3172 3380 3660 3744 3904 3965 4056 4160 4392 4394 4680 4758 4880 5070 5408 5490 5856 6084 6240 6344 6591 6760 7137 7320 7488 7605 7930 8112 8784 8788 9360 9516 9760 10140 10309 10816 10980 10985 11712 11895 12168 12480 12688 13182 13520 14274 14640 15210 15860 16224 17568 17576 18720 19032 19520 19773 20280 20618 21960 21970 23790 24336 25376 26364 27040 28548 29280 30420 30927 31720 32448 32955 35136 35152 35685 37440 38064 39546 40560 41236 43920 43940 47580 48672 50752 51545 52728 54080 57096 58560 60840 61854 63440 65910 70304 71370 76128 79092 81120 82472 87840 87880 92781 95160 97344 98865 103090 105456 114192 121680 123708 126880 131820 134017 140608 142740 152256 154635 158184 162240 164944 175680 175760 185562 190320 197730 206180 210912 228384 243360 247416 253760 263640 268034 285480 309270 316368 329888 351520 371124 380640 395460 402051 412360 421824 456768 463905 486720 494832 527280 536068 570960 618540 632736 659776 670085 703040 742248 761280 790920 804102 824720 927810 989664 1054560 1072136 1141920 1206153 1237080 1265472 1340170 1484496 1581840 1608204 1649440 1855620 1979328 2010255 2109120 2144272 2283840 2412306 2474160 2680340 2968992 3163680 3216408 3298880 3711240 4020510 4288544 4824612 4948320 5360680 5937984 6030765 6327360 6432816 7422480 8041020 8577088 9649224 9896640 10721360 12061530 12865632 14844960 16082040 19298448 21442720 24123060 25731264 29689920 32164080 38596896 42885440 48246120 64328160 77193792 96492240 128656320 192984480 385968960
- Sum of all divisors σ(n): 1461729360
- Sum of proper divisors (its aliquot sum) s(n): 1075760400
- 385968960 is an abundant number, because the sum of its proper divisors (1075760400) is greater than itself. Its abundance is 689791440
Bases of 385968960
- Binary: 101110000000101101011010000002
- Hexadecimal: 0x17016B40
- Base-36: 6DSNK0
Squares and roots of 385968960
- 385968960 squared (3859689602) is 148972038083481600
- 385968960 cubed (3859689603) is 57498582608161786331136000
-
The
square root of 385968960 is 19646.0927413061 -
The
cube root of 385968960 is 728.0884246335
Scales and comparisons
How big is 385968960?- 385,968,960 seconds is equal to 12 years, 14 weeks, 1 day, 5 hours, 36 minutes.
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To count from 1 to 385,968,960 would take you about eighteen 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 385968960 cubic inches would be around 60.7 feet tall.
Recreational maths with 385968960
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