34019920
34,019,920 is an even composite number composed of five prime numbers multiplied together.
34019920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 34019920:
24 × 5 × 11 × 67 × 577
(2 × 2 × 2 × 2 × 5 × 11 × 67 × 577)See below for interesting mathematical facts about the number 34019920 from the Numbermatics database.
Names of 34019920
- Cardinal: 34019920 can be written as Thirty-four million, nineteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.401992 × 107
Factors of 34019920
Divisors of 34019920
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 577 670 737 880 1072 1154 1340 1474 2308 2680 2885 2948 3685 4616 5360 5770 5896 6347 7370 9232 11540 11792 12694 14740 23080 25388 29480 31735 38659 46160 50776 58960 63470 77318 101552 126940 154636 193295 253880 309272 386590 425249 507760 618544 773180 850498 1546360 1700996 2126245 3092720 3401992 4252490 6803984 8504980 17009960 34019920
- Sum of all divisors σ(n): 87726528
- Sum of proper divisors (its aliquot sum) s(n): 53706608
- 34019920 is an abundant number, because the sum of its proper divisors (53706608) is greater than itself. Its abundance is 19686688
Bases of 34019920
- Binary: 100000011100011010010100002
- Hexadecimal: 0x2071A50
- Base-36: K95XS
Squares and roots of 34019920
- 34019920 squared (340199202) is 1157354956806400
- 34019920 cubed (340199203) is 39373123042157183488000
-
The
square root of 34019920 is 5832.6597706363 -
The
cube root of 34019920 is 324.0244354887
Scales and comparisons
How big is 34019920?- 34,019,920 seconds is equal to 1 year, 4 weeks, 1 day, 17 hours, 58 minutes, 40 seconds.
-
To count from 1 to 34,019,920 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 34019920 cubic inches would be around 27 feet tall.
Recreational maths with 34019920
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