385728000
385,728,000 is an even composite number composed of five prime numbers multiplied together.
385728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 385728000:
29 × 3 × 53 × 72 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 41)See below for interesting mathematical facts about the number 385728000 from the Numbermatics database.
Names of 385728000
- Cardinal: 385728000 can be written as Three hundred eighty-five million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.85728 × 108
Factors of 385728000
Divisors of 385728000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 41 42 48 49 50 56 60 64 70 75 80 82 84 96 98 100 105 112 120 123 125 128 140 147 150 160 164 168 175 192 196 200 205 210 224 240 245 246 250 256 280 287 294 300 320 328 336 350 375 384 392 400 410 420 448 480 490 492 500 512 525 560 574 588 600 615 640 656 672 700 735 750 768 784 800 820 840 861 875 896 960 980 984 1000 1025 1050 1120 1148 1176 1200 1225 1230 1280 1312 1344 1400 1435 1470 1500 1536 1568 1600 1640 1680 1722 1750 1792 1920 1960 1968 2000 2009 2050 2100 2240 2296 2352 2400 2450 2460 2560 2624 2625 2688 2800 2870 2940 3000 3075 3136 3200 3280 3360 3444 3500 3584 3675 3840 3920 3936 4000 4018 4100 4200 4305 4480 4592 4704 4800 4900 4920 5125 5248 5250 5376 5600 5740 5880 6000 6027 6125 6150 6272 6400 6560 6720 6888 7000 7175 7350 7680 7840 7872 8000 8036 8200 8400 8610 8960 9184 9408 9600 9800 9840 10045 10250 10496 10500 10752 11200 11480 11760 12000 12054 12250 12300 12544 12800 13120 13440 13776 14000 14350 14700 15375 15680 15744 16000 16072 16400 16800 17220 17920 18368 18375 18816 19200 19600 19680 20090 20500 20992 21000 21525 22400 22960 23520 24000 24108 24500 24600 25088 26240 26880 27552 28000 28700 29400 30135 30750 31360 31488 32000 32144 32800 33600 34440 35875 36736 36750 37632 38400 39200 39360 40180 41000 42000 43050 44800 45920 47040 48000 48216 49000 49200 50225 52480 53760 55104 56000 57400 58800 60270 61500 62720 62976 64000 64288 65600 67200 68880 71750 73472 73500 75264 78400 78720 80360 82000 84000 86100 89600 91840 94080 96000 96432 98000 98400 100450 104960 107625 110208 112000 114800 117600 120540 123000 125440 128576 131200 134400 137760 143500 146944 147000 150675 156800 157440 160720 164000 168000 172200 183680 188160 192000 192864 196000 196800 200900 215250 220416 224000 229600 235200 241080 246000 251125 257152 262400 268800 275520 287000 294000 301350 313600 314880 321440 328000 336000 344400 367360 376320 385728 392000 393600 401800 430500 440832 448000 459200 470400 482160 492000 502250 514304 524800 551040 574000 588000 602700 627200 642880 656000 672000 688800 734720 753375 771456 784000 787200 803600 861000 918400 940800 964320 984000 1004500 1028608 1102080 1148000 1176000 1205400 1285760 1312000 1344000 1377600 1506750 1542912 1568000 1574400 1607200 1722000 1836800 1881600 1928640 1968000 2009000 2204160 2296000 2352000 2410800 2571520 2624000 2755200 3013500 3085824 3136000 3214400 3444000 3673600 3857280 3936000 4018000 4592000 4704000 4821600 5143040 5510400 6027000 6428800 6888000 7714560 7872000 8036000 9184000 9408000 9643200 11020800 12054000 12857600 13776000 15429120 16072000 18368000 19286400 24108000 25715200 27552000 32144000 38572800 48216000 55104000 64288000 77145600 96432000 128576000 192864000 385728000
- Sum of all divisors σ(n): 1528214688
- Sum of proper divisors (its aliquot sum) s(n): 1142486688
- 385728000 is an abundant number, because the sum of its proper divisors (1142486688) is greater than itself. Its abundance is 756758688
Bases of 385728000
- Binary: 101101111110110111110000000002
- Hexadecimal: 0x16FDBE00
- Base-36: 6DNHMO
Squares and roots of 385728000
- 385728000 squared (3857280002) is 148786089984000000
- 385728000 cubed (3857280003) is 57390960917348352000000000
-
The
square root of 385728000 is 19639.9592667603 -
The
cube root of 385728000 is 727.9368781563
Scales and comparisons
How big is 385728000?- 385,728,000 seconds is equal to 12 years, 13 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 385,728,000 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 385728000 cubic inches would be around 60.7 feet tall.
Recreational maths with 385728000
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The information we have on file for 385728000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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