68342400
68,342,400 is an even composite number composed of five prime numbers multiplied together.
68342400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 68342400:
27 × 33 × 52 × 7 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 113)See below for interesting mathematical facts about the number 68342400 from the Numbermatics database.
Names of 68342400
- Cardinal: 68342400 can be written as Sixty-eight million, three hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 6.83424 × 107
Factors of 68342400
Divisors of 68342400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 113 120 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 226 240 252 270 280 288 300 315 320 336 339 350 360 378 384 400 420 432 448 450 452 480 504 525 540 560 565 576 600 630 640 672 675 678 700 720 756 791 800 840 864 896 900 904 945 960 1008 1017 1050 1080 1120 1130 1152 1200 1260 1344 1350 1356 1400 1440 1512 1575 1582 1600 1680 1695 1728 1800 1808 1890 1920 2016 2034 2100 2160 2240 2260 2373 2400 2520 2688 2700 2712 2800 2825 2880 3024 3051 3150 3164 3200 3360 3390 3456 3600 3616 3780 3955 4032 4068 4200 4320 4480 4520 4725 4746 4800 5040 5085 5400 5424 5600 5650 5760 6048 6102 6300 6328 6720 6780 7119 7200 7232 7560 7910 8064 8136 8400 8475 8640 9040 9450 9492 9600 10080 10170 10800 10848 11200 11300 11865 12096 12204 12600 12656 13440 13560 14238 14400 14464 15120 15255 15820 16272 16800 16950 17280 18080 18900 18984 19775 20160 20340 21357 21600 21696 22400 22600 23730 24192 24408 25200 25312 25425 27120 28476 28800 30240 30510 31640 32544 33600 33900 35595 36160 37800 37968 39550 40320 40680 42714 43200 43392 45200 47460 48816 50400 50624 50850 54240 56952 59325 60480 61020 63280 65088 67200 67800 71190 72320 75600 75936 76275 79100 81360 85428 86400 90400 94920 97632 100800 101248 101700 106785 108480 113904 118650 120960 122040 126560 130176 135600 142380 151200 151872 152550 158200 162720 170856 177975 180800 189840 195264 201600 203400 213570 216960 227808 237300 244080 253120 271200 284760 302400 303744 305100 316400 325440 341712 355950 361600 379680 390528 406800 427140 455616 474600 488160 506240 533925 542400 569520 604800 610200 632800 650880 683424 711900 759360 813600 854280 911232 949200 976320 1067850 1084800 1139040 1220400 1265600 1366848 1423800 1518720 1627200 1708560 1898400 1952640 2135700 2278080 2440800 2531200 2733696 2847600 3254400 3417120 3796800 4271400 4556160 4881600 5695200 6834240 7593600 8542800 9763200 11390400 13668480 17085600 22780800 34171200 68342400
- Sum of all divisors σ(n): 288374400
- Sum of proper divisors (its aliquot sum) s(n): 220032000
- 68342400 is an abundant number, because the sum of its proper divisors (220032000) is greater than itself. Its abundance is 151689600
Bases of 68342400
- Binary: 1000001001011010010100000002
- Hexadecimal: 0x412D280
- Base-36: 14OTC0
Squares and roots of 68342400
- 68342400 squared (683424002) is 4670683637760000
- 68342400 cubed (683424003) is 319205729445249024000000
-
The
square root of 68342400 is 8266.9462318319 -
The
cube root of 68342400 is 408.8494413389
Scales and comparisons
How big is 68342400?- 68,342,400 seconds is equal to 2 years, 9 weeks.
-
To count from 1 to 68,342,400 would take you about three 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 68342400 cubic inches would be around 34.1 feet tall.
Recreational maths with 68342400
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