34140480
34,140,480 is an even composite number composed of six prime numbers multiplied together.
34140480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 34140480:
26 × 3 × 5 × 11 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 53 × 61)See below for interesting mathematical facts about the number 34140480 from the Numbermatics database.
Names of 34140480
- Cardinal: 34140480 can be written as Thirty-four million, one hundred forty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 3.414048 × 107
Factors of 34140480
Divisors of 34140480
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 53 55 60 61 64 66 80 88 96 106 110 120 122 132 159 160 165 176 183 192 212 220 240 244 264 265 305 318 320 330 352 366 424 440 480 488 528 530 583 610 636 660 671 704 732 795 848 880 915 960 976 1056 1060 1166 1220 1272 1320 1342 1464 1590 1696 1749 1760 1830 1952 2013 2112 2120 2332 2440 2544 2640 2684 2915 2928 3180 3233 3355 3392 3498 3520 3660 3904 4026 4240 4664 4880 5088 5280 5368 5830 5856 6360 6466 6710 6996 7320 8052 8480 8745 9328 9699 9760 10065 10176 10560 10736 11660 11712 12720 12932 13420 13992 14640 16104 16165 16960 17490 18656 19398 19520 20130 21472 23320 25440 25864 26840 27984 29280 32208 32330 34980 35563 37312 38796 40260 42944 46640 48495 50880 51728 53680 55968 58560 64416 64660 69960 71126 77592 80520 93280 96990 103456 106689 107360 111936 128832 129320 139920 142252 155184 161040 177815 186560 193980 206912 213378 214720 258640 279840 284504 310368 322080 355630 387960 426756 517280 533445 559680 569008 620736 644160 711260 775920 853512 1034560 1066890 1138016 1422520 1551840 1707024 2133780 2276032 2845040 3103680 3414048 4267560 5690080 6828096 8535120 11380160 17070240 34140480
- Sum of all divisors σ(n): 122456448
- Sum of proper divisors (its aliquot sum) s(n): 88315968
- 34140480 is an abundant number, because the sum of its proper divisors (88315968) is greater than itself. Its abundance is 54175488
Bases of 34140480
- Binary: 100000100011110001010000002
- Hexadecimal: 0x208F140
- Base-36: KBQYO
Squares and roots of 34140480
- 34140480 squared (341404802) is 1165572374630400
- 34140480 cubed (341404803) is 39793200344621678592000
-
The
square root of 34140480 is 5842.9855382329 -
The
cube root of 34140480 is 324.4067441581
Scales and comparisons
How big is 34140480?- 34,140,480 seconds is equal to 1 year, 4 weeks, 3 days, 3 hours, 28 minutes.
-
To count from 1 to 34,140,480 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 34140480 cubic inches would be around 27 feet tall.
Recreational maths with 34140480
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