34142160
34,142,160 is an even composite number composed of six prime numbers multiplied together.
34142160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 34142160:
24 × 3 × 5 × 13 × 31 × 353
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 31 × 353)See below for interesting mathematical facts about the number 34142160 from the Numbermatics database.
Names of 34142160
- Cardinal: 34142160 can be written as Thirty-four million, one hundred forty-two thousand, one hundred sixty.
Scientific notation
- Scientific notation: 3.414216 × 107
Factors of 34142160
Divisors of 34142160
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 353 372 390 403 465 496 520 620 624 706 744 780 806 930 1040 1059 1209 1240 1412 1488 1560 1612 1765 1860 2015 2118 2418 2480 2824 3120 3224 3530 3720 4030 4236 4589 4836 5295 5648 6045 6448 7060 7440 8060 8472 9178 9672 10590 10943 12090 13767 14120 16120 16944 18356 19344 21180 21886 22945 24180 27534 28240 32240 32829 36712 42360 43772 45890 48360 54715 55068 65658 68835 73424 84720 87544 91780 96720 109430 110136 131316 137670 142259 164145 175088 183560 218860 220272 262632 275340 284518 328290 367120 426777 437720 525264 550680 569036 656580 711295 853554 875440 1101360 1138072 1313160 1422590 1707108 2133885 2276144 2626320 2845180 3414216 4267770 5690360 6828432 8535540 11380720 17071080 34142160
- Sum of all divisors σ(n): 117992448
- Sum of proper divisors (its aliquot sum) s(n): 83850288
- 34142160 is an abundant number, because the sum of its proper divisors (83850288) is greater than itself. Its abundance is 49708128
Bases of 34142160
- Binary: 100000100011110111110100002
- Hexadecimal: 0x208F7D0
- Base-36: KBS9C
Squares and roots of 34142160
- 34142160 squared (341421602) is 1165687089465600
- 34142160 cubed (341421603) is 39799075118468829696000
-
The
square root of 34142160 is 5843.1292985865 -
The
cube root of 34142160 is 324.4120652549
Scales and comparisons
How big is 34142160?- 34,142,160 seconds is equal to 1 year, 4 weeks, 3 days, 3 hours, 56 minutes.
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To count from 1 to 34,142,160 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 34142160 cubic inches would be around 27 feet tall.
Recreational maths with 34142160
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