385344960
385,344,960 is an even composite number composed of seven prime numbers multiplied together.
385344960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 385344960:
26 × 3 × 5 × 7 × 11 × 13 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 401)See below for interesting mathematical facts about the number 385344960 from the Numbermatics database.
Names of 385344960
- Cardinal: 385344960 can be written as Three hundred eighty-five million, three hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.8534496 × 108
Factors of 385344960
Divisors of 385344960
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 60 64 65 66 70 77 78 80 84 88 91 96 104 105 110 112 120 130 132 140 143 154 156 160 165 168 176 182 192 195 208 210 220 224 231 240 260 264 273 280 286 308 312 320 330 336 352 364 385 390 401 416 420 429 440 448 455 462 480 520 528 546 560 572 616 624 660 672 704 715 728 770 780 802 832 840 858 880 910 924 960 1001 1040 1056 1092 1120 1144 1155 1203 1232 1248 1320 1344 1365 1430 1456 1540 1560 1604 1680 1716 1760 1820 1848 2002 2005 2080 2112 2145 2184 2240 2288 2310 2406 2464 2496 2640 2730 2807 2860 2912 3003 3080 3120 3208 3360 3432 3520 3640 3696 4004 4010 4160 4290 4368 4411 4576 4620 4812 4928 5005 5213 5280 5460 5614 5720 5824 6006 6015 6160 6240 6416 6720 6864 7280 7392 8008 8020 8421 8580 8736 8822 9152 9240 9624 10010 10426 10560 10920 11228 11440 12012 12030 12320 12480 12832 13233 13728 14035 14560 14784 15015 15639 16016 16040 16842 17160 17472 17644 18480 19248 20020 20852 21840 22055 22456 22880 24024 24060 24640 25664 26065 26466 27456 28070 29120 30030 30877 31278 32032 32080 33684 34320 35288 36491 36960 38496 40040 41704 42105 43680 44110 44912 45760 48048 48120 52130 52932 56140 57343 60060 61754 62556 64064 64160 66165 67368 68640 70576 72982 73920 76992 78195 80080 83408 84210 87360 88220 89824 92631 96096 96240 104260 105864 109473 112280 114686 120120 123508 125112 128320 132330 134736 137280 141152 145964 154385 156390 160160 166816 168420 172029 176440 179648 182455 185262 192192 192480 208520 211728 218946 224560 229372 240240 247016 250224 264660 269472 282304 286715 291928 308770 312780 320320 333632 336840 344058 352880 364910 370524 384960 401401 417040 423456 437892 449120 458744 463155 480480 494032 500448 529320 538944 547365 573430 583856 617540 625560 673680 688116 705760 729820 741048 802802 834080 846912 860145 875784 898240 917488 926310 960960 988064 1000896 1058640 1094730 1146860 1167712 1204203 1235080 1251120 1347360 1376232 1411520 1459640 1482096 1605604 1668160 1720290 1751568 1834976 1852620 1976128 2007005 2117280 2189460 2293720 2335424 2408406 2470160 2502240 2694720 2752464 2919280 2964192 3211208 3440580 3503136 3669952 3705240 4014010 4234560 4378920 4587440 4816812 4940320 5004480 5504928 5838560 5928384 6021015 6422416 6881160 7006272 7410480 8028020 8757840 9174880 9633624 9880640 11009856 11677120 12042030 12844832 13762320 14820960 16056040 17515680 18349760 19267248 24084060 25689664 27524640 29641920 32112080 35031360 38534496 48168120 55049280 64224160 77068992 96336240 128448320 192672480 385344960
- Sum of all divisors σ(n): 1646797824
- Sum of proper divisors (its aliquot sum) s(n): 1261452864
- 385344960 is an abundant number, because the sum of its proper divisors (1261452864) is greater than itself. Its abundance is 876107904
Bases of 385344960
- Binary: 101101111011111100101110000002
- Hexadecimal: 0x16F7E5C0
- Base-36: 6DFA2O
Squares and roots of 385344960
- 385344960 squared (3853449602) is 148490738197401600
- 385344960 cubed (3853449603) is 57220157571048191655936000
-
The
square root of 385344960 is 19630.2052969397 -
The
cube root of 385344960 is 727.6958436379
Scales and comparisons
How big is 385344960?- 385,344,960 seconds is equal to 12 years, 13 weeks, 1 day, 16 minutes.
-
To count from 1 to 385,344,960 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 385344960 cubic inches would be around 60.6 feet tall.
Recreational maths with 385344960
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