385324800
385,324,800 is an even composite number composed of six prime numbers multiplied together.
385324800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 385324800:
28 × 3 × 52 × 7 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 47 × 61)See below for interesting mathematical facts about the number 385324800 from the Numbermatics database.
Names of 385324800
- Cardinal: 385324800 can be written as Three hundred eighty-five million, three hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 3.853248 × 108
Factors of 385324800
Divisors of 385324800
- Number of divisors d(n): 432
-
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 42 47 48 50 56 60 61 64 70 75 80 84 94 96 100 105 112 120 122 128 140 141 150 160 168 175 183 188 192 200 210 224 235 240 244 256 280 282 300 305 320 329 336 350 366 376 384 400 420 427 448 470 480 488 525 560 564 600 610 640 658 672 700 705 732 752 768 800 840 854 896 915 940 960 976 987 1050 1120 1128 1175 1200 1220 1280 1281 1316 1344 1400 1410 1464 1504 1525 1600 1645 1680 1708 1792 1830 1880 1920 1952 1974 2100 2135 2240 2256 2350 2400 2440 2562 2632 2688 2800 2820 2867 2928 3008 3050 3200 3290 3360 3416 3525 3660 3760 3840 3904 3948 4200 4270 4480 4512 4575 4700 4800 4880 4935 5124 5264 5376 5600 5640 5734 5856 6016 6100 6400 6405 6580 6720 6832 7050 7320 7520 7808 7896 8225 8400 8540 8601 8960 9024 9150 9400 9600 9760 9870 10248 10528 10675 11200 11280 11468 11712 12032 12200 12810 13160 13440 13664 14100 14335 14640 15040 15616 15792 16450 16800 17080 17202 18048 18300 18800 19200 19520 19740 20069 20496 21056 21350 22400 22560 22936 23424 24400 24675 25620 26320 26880 27328 28200 28670 29280 30080 31584 32025 32900 33600 34160 34404 36096 36600 37600 39040 39480 40138 40992 42112 42700 43005 44800 45120 45872 46848 48800 49350 51240 52640 54656 56400 57340 58560 60160 60207 63168 64050 65800 67200 68320 68808 71675 73200 75200 78080 78960 80276 81984 84224 85400 86010 90240 91744 97600 98700 100345 102480 105280 109312 112800 114680 117120 120414 126336 128100 131600 134400 136640 137616 143350 146400 150400 157920 160552 163968 170800 172020 180480 183488 195200 197400 200690 204960 210560 215025 225600 229360 234240 240828 252672 256200 263200 273280 275232 286700 292800 300800 301035 315840 321104 327936 341600 344040 366976 390400 394800 401380 409920 421120 430050 451200 458720 481656 501725 512400 526400 546560 550464 573400 585600 602070 631680 642208 683200 688080 733952 789600 802760 819840 860100 902400 917440 963312 1003450 1024800 1052800 1100928 1146800 1171200 1204140 1263360 1284416 1366400 1376160 1505175 1579200 1605520 1639680 1720200 1834880 1926624 2006900 2049600 2105600 2201856 2293600 2408280 2568832 2732800 2752320 3010350 3158400 3211040 3440400 3669760 3853248 4013800 4099200 4587200 4816560 5137664 5504640 6020700 6316800 6422080 6880800 7706496 8027600 8198400 9174400 9633120 11009280 12041400 12844160 13761600 15412992 16055200 18348800 19266240 24082800 25688320 27523200 32110400 38532480 48165600 55046400 64220800 77064960 96331200 128441600 192662400 385324800
- Sum of all divisors σ(n): 1508570112
- Sum of proper divisors (its aliquot sum) s(n): 1123245312
- 385324800 is an abundant number, because the sum of its proper divisors (1123245312) is greater than itself. Its abundance is 737920512
Bases of 385324800
- Binary: 101101111011110010111000000002
- Hexadecimal: 0x16F79700
- Base-36: 6DEUIO
Squares and roots of 385324800
- 385324800 squared (3853248002) is 148475201495040000
- 385324800 cubed (3853248003) is 57211177321035988992000000
-
The
square root of 385324800 is 19629.6917958487 -
The
cube root of 385324800 is 727.6831531869
Scales and comparisons
How big is 385324800?- 385,324,800 seconds is equal to 12 years, 13 weeks, 18 hours, 40 minutes.
-
To count from 1 to 385,324,800 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 385324800 cubic inches would be around 60.6 feet tall.
Recreational maths with 385324800
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