34147120
34,147,120 is an even composite number composed of five prime numbers multiplied together.
34147120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 34147120:
24 × 5 × 72 × 31 × 281
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 31 × 281)See below for interesting mathematical facts about the number 34147120 from the Numbermatics database.
Names of 34147120
- Cardinal: 34147120 can be written as Thirty-four million, one hundred forty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.414712 × 107
Factors of 34147120
Divisors of 34147120
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 281 310 392 434 490 496 560 562 620 784 868 980 1085 1124 1240 1405 1519 1736 1960 1967 2170 2248 2480 2810 3038 3472 3920 3934 4340 4496 5620 6076 7595 7868 8680 8711 9835 11240 12152 13769 15190 15736 17360 17422 19670 22480 24304 27538 30380 31472 34844 39340 43555 55076 60760 60977 68845 69688 78680 87110 110152 121520 121954 137690 139376 157360 174220 220304 243908 275380 304885 348440 426839 487816 550760 609770 696880 853678 975632 1101520 1219540 1707356 2134195 2439080 3414712 4268390 4878160 6829424 8536780 17073560 34147120
- Sum of all divisors σ(n): 95672448
- Sum of proper divisors (its aliquot sum) s(n): 61525328
- 34147120 is an abundant number, because the sum of its proper divisors (61525328) is greater than itself. Its abundance is 27378208
Bases of 34147120
- Binary: 100000100100001011001100002
- Hexadecimal: 0x2090B30
- Base-36: KBW34
Squares and roots of 34147120
- 34147120 squared (341471202) is 1166025804294400
- 34147120 cubed (341471203) is 39816423062337392128000
-
The
square root of 34147120 is 5843.5537132809 -
The
cube root of 34147120 is 324.4277741413
Scales and comparisons
How big is 34147120?- 34,147,120 seconds is equal to 1 year, 4 weeks, 3 days, 5 hours, 18 minutes, 40 seconds.
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To count from 1 to 34,147,120 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 34147120 cubic inches would be around 27 feet tall.
Recreational maths with 34147120
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