34142220
34,142,220 is an even composite number composed of five prime numbers multiplied together.
34142220 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 34142220:
22 × 32 × 5 × 74 × 79
(2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 79)See below for interesting mathematical facts about the number 34142220 from the Numbermatics database.
Names of 34142220
- Cardinal: 34142220 can be written as Thirty-four million, one hundred forty-two thousand, two hundred twenty.
Scientific notation
- Scientific notation: 3.414222 × 107
Factors of 34142220
Divisors of 34142220
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 79 84 90 98 105 126 140 147 158 180 196 210 237 245 252 294 315 316 343 395 420 441 474 490 553 588 630 686 711 735 790 882 948 980 1029 1106 1185 1260 1372 1422 1470 1580 1659 1715 1764 2058 2205 2212 2370 2401 2765 2844 2940 3087 3318 3430 3555 3871 4116 4410 4740 4802 4977 5145 5530 6174 6636 6860 7110 7203 7742 8295 8820 9604 9954 10290 11060 11613 12005 12348 14220 14406 15435 15484 16590 19355 19908 20580 21609 23226 24010 24885 27097 28812 30870 33180 34839 36015 38710 43218 46452 48020 49770 54194 58065 61740 69678 72030 77420 81291 86436 99540 108045 108388 116130 135485 139356 144060 162582 174195 189679 216090 232260 243873 270970 325164 348390 379358 406455 432180 487746 541940 569037 696780 758716 812910 948395 975492 1138074 1219365 1625820 1707111 1896790 2276148 2438730 2845185 3414222 3793580 4877460 5690370 6828444 8535555 11380740 17071110 34142220
- Sum of all divisors σ(n): 122347680
- Sum of proper divisors (its aliquot sum) s(n): 88205460
- 34142220 is an abundant number, because the sum of its proper divisors (88205460) is greater than itself. Its abundance is 54063240
Bases of 34142220
- Binary: 100000100011111000000011002
- Hexadecimal: 0x208F80C
- Base-36: KBSB0
Squares and roots of 34142220
- 34142220 squared (341422202) is 1165691186528400
- 34142220 cubed (341422203) is 39799284942513669048000
-
The
square root of 34142220 is 5843.1344328195 -
The
cube root of 34142220 is 324.4122552909
Scales and comparisons
How big is 34142220?- 34,142,220 seconds is equal to 1 year, 4 weeks, 3 days, 3 hours, 57 minutes.
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To count from 1 to 34,142,220 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 34142220 cubic inches would be around 27 feet tall.
Recreational maths with 34142220
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