34081920
34,081,920 is an even composite number composed of five prime numbers multiplied together.
34081920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 34081920:
27 × 32 × 5 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 61 × 97)See below for interesting mathematical facts about the number 34081920 from the Numbermatics database.
Names of 34081920
- Cardinal: 34081920 can be written as Thirty-four million, eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.408192 × 107
Factors of 34081920
Divisors of 34081920
- Number of divisors d(n): 192
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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 40 45 48 60 61 64 72 80 90 96 97 120 122 128 144 160 180 183 192 194 240 244 288 291 305 320 360 366 384 388 480 485 488 549 576 582 610 640 720 732 776 873 915 960 970 976 1098 1152 1164 1220 1440 1455 1464 1552 1746 1830 1920 1940 1952 2196 2328 2440 2745 2880 2910 2928 3104 3492 3660 3880 3904 4365 4392 4656 4880 5490 5760 5820 5856 5917 6208 6984 7320 7760 7808 8730 8784 9312 9760 10980 11640 11712 11834 12416 13968 14640 15520 17460 17568 17751 18624 19520 21960 23280 23424 23668 27936 29280 29585 31040 34920 35136 35502 37248 39040 43920 46560 47336 53253 55872 58560 59170 62080 69840 70272 71004 87840 88755 93120 94672 106506 111744 117120 118340 139680 142008 175680 177510 186240 189344 213012 236680 266265 279360 284016 351360 355020 378688 426024 473360 532530 558720 568032 710040 757376 852048 946720 1065060 1136064 1420080 1704096 1893440 2130120 2272128 2840160 3408192 3786880 4260240 5680320 6816384 8520480 11360640 17040960 34081920
- Sum of all divisors σ(n): 120851640
- Sum of proper divisors (its aliquot sum) s(n): 86769720
- 34081920 is an abundant number, because the sum of its proper divisors (86769720) is greater than itself. Its abundance is 52687800
Bases of 34081920
- Binary: 100000100000001100100000002
- Hexadecimal: 0x2080C80
- Base-36: KAHS0
Squares and roots of 34081920
- 34081920 squared (340819202) is 1161577270886400
- 34081920 cubed (340819203) is 39588783620168613888000
-
The
square root of 34081920 is 5837.9722507049 -
The
cube root of 34081920 is 324.2211567355
Scales and comparisons
How big is 34081920?- 34,081,920 seconds is equal to 1 year, 4 weeks, 2 days, 11 hours, 12 minutes.
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To count from 1 to 34,081,920 would take you about thirty-two weeks!
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 34081920 cubic inches would be around 27 feet tall.
Recreational maths with 34081920
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