34133120
34,133,120 is an even composite number composed of five prime numbers multiplied together.
34133120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 34133120:
27 × 5 × 7 × 19 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 19 × 401)See below for interesting mathematical facts about the number 34133120 from the Numbermatics database.
Names of 34133120
- Cardinal: 34133120 can be written as Thirty-four million, one hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.413312 × 107
Factors of 34133120
Divisors of 34133120
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 401 448 532 560 608 640 665 760 802 896 1064 1120 1216 1330 1520 1604 2005 2128 2240 2432 2660 2807 3040 3208 4010 4256 4480 5320 5614 6080 6416 7619 8020 8512 10640 11228 12160 12832 14035 15238 16040 17024 21280 22456 25664 28070 30476 32080 38095 42560 44912 51328 53333 56140 60952 64160 76190 85120 89824 106666 112280 121904 128320 152380 179648 213332 224560 243808 256640 266665 304760 359296 426664 449120 487616 533330 609520 853328 898240 975232 1066660 1219040 1706656 1796480 2133320 2438080 3413312 4266640 4876160 6826624 8533280 17066560 34133120
- Sum of all divisors σ(n): 98409600
- Sum of proper divisors (its aliquot sum) s(n): 64276480
- 34133120 is an abundant number, because the sum of its proper divisors (64276480) is greater than itself. Its abundance is 30143360
Bases of 34133120
- Binary: 100000100011010100100000002
- Hexadecimal: 0x208D480
- Base-36: KBLA8
Squares and roots of 34133120
- 34133120 squared (341331202) is 1165069880934400
- 34133120 cubed (341331203) is 39767470054319587328000
-
The
square root of 34133120 is 5842.3556892747 -
The
cube root of 34133120 is 324.3834306289
Scales and comparisons
How big is 34133120?- 34,133,120 seconds is equal to 1 year, 4 weeks, 3 days, 1 hour, 25 minutes, 20 seconds.
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To count from 1 to 34,133,120 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 34133120 cubic inches would be around 27 feet tall.
Recreational maths with 34133120
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