385971264
385,971,264 is an even composite number composed of five prime numbers multiplied together.
385971264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 385971264:
26 × 33 × 7 × 17 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 1877)See below for interesting mathematical facts about the number 385971264 from the Numbermatics database.
Names of 385971264
- Cardinal: 385971264 can be written as Three hundred eighty-five million, nine hundred seventy-one thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 3.85971264 × 108
Factors of 385971264
Divisors of 385971264
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 84 96 102 108 112 119 126 136 144 153 168 189 192 204 216 224 238 252 272 288 306 336 357 378 408 432 448 459 476 504 544 576 612 672 714 756 816 864 918 952 1008 1071 1088 1224 1344 1428 1512 1632 1728 1836 1877 1904 2016 2142 2448 2856 3024 3213 3264 3672 3754 3808 4032 4284 4896 5631 5712 6048 6426 7344 7508 7616 8568 9792 11262 11424 12096 12852 13139 14688 15016 16893 17136 22524 22848 25704 26278 29376 30032 31909 33786 34272 39417 45048 50679 51408 52556 60064 63818 67572 68544 78834 90096 95727 101358 102816 105112 118251 120128 127636 135144 157668 180192 191454 202716 205632 210224 223363 236502 255272 270288 287181 315336 354753 360384 382908 405432 420448 446726 473004 510544 540576 574362 630672 670089 709506 765816 810864 840896 861543 893452 946008 1021088 1081152 1148724 1261344 1340178 1419012 1531632 1621728 1723086 1786904 1892016 2010267 2042176 2297448 2522688 2680356 2838024 3063264 3243456 3446172 3573808 3784032 4020534 4594896 5360712 5676048 6030801 6126528 6892344 7147616 7568064 8041068 9189792 10721424 11352096 12061602 13784688 14295232 16082136 18379584 21442848 22704192 24123204 27569376 32164272 42885696 48246408 55138752 64328544 96492816 128657088 192985632 385971264
- Sum of all divisors σ(n): 1373794560
- Sum of proper divisors (its aliquot sum) s(n): 987823296
- 385971264 is an abundant number, because the sum of its proper divisors (987823296) is greater than itself. Its abundance is 601852032
Bases of 385971264
- Binary: 101110000000101110100010000002
- Hexadecimal: 0x17017440
- Base-36: 6DSPC0
Squares and roots of 385971264
- 385971264 squared (3859712642) is 148973816633757696
- 385971264 cubed (3859712643) is 57499612309035682994847744
-
The
square root of 385971264 is 19646.1513788325 -
The
cube root of 385971264 is 728.0898733789
Scales and comparisons
How big is 385971264?- 385,971,264 seconds is equal to 12 years, 14 weeks, 1 day, 6 hours, 14 minutes, 24 seconds.
-
To count from 1 to 385,971,264 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 385971264 cubic inches would be around 60.7 feet tall.
Recreational maths with 385971264
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