345680640
345,680,640 is an even composite number composed of five prime numbers multiplied together.
345680640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 345680640:
28 × 32 × 5 × 37 × 811
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 37 × 811)See below for interesting mathematical facts about the number 345680640 from the Numbermatics database.
Names of 345680640
- Cardinal: 345680640 can be written as Three hundred forty-five million, six hundred eighty thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.4568064 × 108
Factors of 345680640
Divisors of 345680640
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 64 72 74 80 90 96 111 120 128 144 148 160 180 185 192 222 240 256 288 296 320 333 360 370 384 444 480 555 576 592 640 666 720 740 768 811 888 960 1110 1152 1184 1280 1332 1440 1480 1622 1665 1776 1920 2220 2304 2368 2433 2664 2880 2960 3244 3330 3552 3840 4055 4440 4736 4866 5328 5760 5920 6488 6660 7104 7299 8110 8880 9472 9732 10656 11520 11840 12165 12976 13320 14208 14598 16220 17760 19464 21312 23680 24330 25952 26640 28416 29196 30007 32440 35520 36495 38928 42624 47360 48660 51904 53280 58392 60014 64880 71040 72990 77856 85248 90021 97320 103808 106560 116784 120028 129760 142080 145980 150035 155712 180042 194640 207616 213120 233568 240056 259520 270063 291960 300070 311424 360084 389280 426240 450105 467136 480112 519040 540126 583920 600140 622848 720168 778560 900210 934272 960224 1038080 1080252 1167840 1200280 1350315 1440336 1557120 1800420 1868544 1920448 2160504 2335680 2400560 2700630 2880672 3114240 3600840 3840896 4321008 4671360 4801120 5401260 5761344 7201680 7681792 8642016 9342720 9602240 10802520 11522688 14403360 17284032 19204480 21605040 23045376 28806720 34568064 38408960 43210080 57613440 69136128 86420160 115226880 172840320 345680640
- Sum of all divisors σ(n): 1229858448
- Sum of proper divisors (its aliquot sum) s(n): 884177808
- 345680640 is an abundant number, because the sum of its proper divisors (884177808) is greater than itself. Its abundance is 538497168
Bases of 345680640
- Binary: 101001001101010101011000000002
- Hexadecimal: 0x149AAB00
- Base-36: 5PT4W0
Squares and roots of 345680640
- 345680640 squared (3456806402) is 119495104870809600
- 345680640 cubed (3456806403) is 41307144328608579846144000
-
The
square root of 345680640 is 18592.4888059669 -
The
cube root of 345680640 is 701.8188345909
Scales and comparisons
How big is 345680640?- 345,680,640 seconds is equal to 10 years, 51 weeks, 3 days, 22 hours, 24 minutes.
-
To count from 1 to 345,680,640 would take you about sixteen 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 345680640 cubic inches would be around 58.5 feet tall.
Recreational maths with 345680640
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