68388320
68,388,320 is an even composite number composed of six prime numbers multiplied together.
68388320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 68388320:
25 × 5 × 72 × 11 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 13 × 61)See below for interesting mathematical facts about the number 68388320 from the Numbermatics database.
Names of 68388320
- Cardinal: 68388320 can be written as Sixty-eight million, three hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 6.838832 × 107
Factors of 68388320
Divisors of 68388320
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 40 44 49 52 55 56 61 65 70 77 80 88 91 98 104 110 112 122 130 140 143 154 160 176 182 196 208 220 224 244 245 260 280 286 305 308 352 364 385 392 416 427 440 455 488 490 520 539 560 572 610 616 637 671 715 728 770 784 793 854 880 910 976 980 1001 1040 1078 1120 1144 1220 1232 1274 1342 1430 1456 1540 1568 1586 1708 1760 1820 1952 1960 2002 2080 2135 2156 2288 2440 2464 2548 2684 2695 2860 2912 2989 3080 3172 3185 3355 3416 3640 3920 3965 4004 4270 4312 4576 4697 4880 5005 5096 5368 5390 5551 5720 5978 6160 6344 6370 6710 6832 7007 7280 7840 7930 8008 8540 8624 8723 9394 9760 10010 10192 10736 10780 11102 11440 11956 12320 12688 12740 13420 13664 14014 14560 14945 15860 16016 17080 17248 17446 18788 20020 20384 21472 21560 22204 22880 23485 23912 25376 25480 26840 27755 28028 29890 31720 32032 32879 34160 34892 35035 37576 38857 40040 43120 43615 44408 46970 47824 50960 53680 55510 56056 59780 61061 63440 65758 68320 69784 70070 75152 77714 80080 86240 87230 88816 93940 95648 101920 107360 111020 112112 119560 122122 126880 131516 139568 140140 150304 155428 160160 164395 174460 177632 187880 194285 222040 224224 239120 244244 263032 279136 280280 305305 310856 328790 348920 375760 388570 427427 444080 478240 488488 526064 560560 610610 621712 657580 697840 751520 777140 854854 888160 976976 1052128 1121120 1221220 1243424 1315160 1395680 1554280 1709708 1953952 2137135 2442440 2630320 3108560 3419416 4274270 4884880 5260640 6217120 6838832 8548540 9769760 13677664 17097080 34194160 68388320
- Sum of all divisors σ(n): 224423136
- Sum of proper divisors (its aliquot sum) s(n): 156034816
- 68388320 is an abundant number, because the sum of its proper divisors (156034816) is greater than itself. Its abundance is 87646496
Bases of 68388320
- Binary: 1000001001110000101111000002
- Hexadecimal: 0x41385E0
- Base-36: 14PSRK
Squares and roots of 68388320
- 68388320 squared (683883202) is 4676962312422400
- 68388320 cubed (683883203) is 319849595249883066368000
-
The
square root of 68388320 is 8269.7230908901 -
The
cube root of 68388320 is 408.9409909627
Scales and comparisons
How big is 68388320?- 68,388,320 seconds is equal to 2 years, 9 weeks, 12 hours, 45 minutes, 20 seconds.
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To count from 1 to 68,388,320 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 68388320 cubic inches would be around 34.1 feet tall.
Recreational maths with 68388320
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