385734720
385,734,720 is an even composite number composed of six prime numbers multiplied together.
385734720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 385734720:
26 × 3 × 5 × 7 × 61 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 61 × 941)See below for interesting mathematical facts about the number 385734720 from the Numbermatics database.
Names of 385734720
- Cardinal: 385734720 can be written as Three hundred eighty-five million, seven hundred thirty-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 3.8573472 × 108
Factors of 385734720
Divisors of 385734720
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 61 64 70 80 84 96 105 112 120 122 140 160 168 183 192 210 224 240 244 280 305 320 336 366 420 427 448 480 488 560 610 672 732 840 854 915 941 960 976 1120 1220 1281 1344 1464 1680 1708 1830 1882 1952 2135 2240 2440 2562 2823 2928 3360 3416 3660 3764 3904 4270 4705 4880 5124 5646 5856 6405 6587 6720 6832 7320 7528 8540 9410 9760 10248 11292 11712 12810 13174 13664 14115 14640 15056 17080 18820 19520 19761 20496 22584 25620 26348 27328 28230 29280 30112 32935 34160 37640 39522 40992 45168 51240 52696 56460 57401 58560 60224 65870 68320 75280 79044 81984 90336 98805 102480 105392 112920 114802 131740 136640 150560 158088 172203 180672 197610 204960 210784 225840 229604 263480 287005 301120 316176 344406 395220 401807 409920 421568 451680 459208 526960 574010 632352 688812 790440 803614 861015 903360 918416 1053920 1148020 1205421 1264704 1377624 1580880 1607228 1722030 1836832 2009035 2107840 2296040 2410842 2755248 3161760 3214456 3444060 3673664 4018070 4592080 4821684 5510496 6027105 6323520 6428912 6888120 8036140 9184160 9643368 11020992 12054210 12857824 13776240 16072280 18368320 19286736 24108420 25715648 27552480 32144560 38573472 48216840 55104960 64289120 77146944 96433680 128578240 192867360 385734720
- Sum of all divisors σ(n): 1424123136
- Sum of proper divisors (its aliquot sum) s(n): 1038388416
- 385734720 is an abundant number, because the sum of its proper divisors (1038388416) is greater than itself. Its abundance is 652653696
Bases of 385734720
- Binary: 101101111110111011000010000002
- Hexadecimal: 0x16FDD840
- Base-36: 6DNMTC
Squares and roots of 385734720
- 385734720 squared (3857347202) is 148791274213478400
- 385734720 cubed (3857347203) is 57393960497179310850048000
-
The
square root of 385734720 is 19640.1303457997 -
The
cube root of 385734720 is 727.9411054075
Scales and comparisons
How big is 385734720?- 385,734,720 seconds is equal to 12 years, 13 weeks, 5 days, 12 hours, 32 minutes.
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To count from 1 to 385,734,720 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 385734720 cubic inches would be around 60.7 feet tall.
Recreational maths with 385734720
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