34245120
34,245,120 is an even composite number composed of five prime numbers multiplied together.
34245120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 34245120:
29 × 3 × 5 × 73 × 13
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 13)See below for interesting mathematical facts about the number 34245120 from the Numbermatics database.
Names of 34245120
- Cardinal: 34245120 can be written as Thirty-four million, two hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.424512 × 107
Factors of 34245120
Divisors of 34245120
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 78 80 84 91 96 98 104 105 112 120 128 130 140 147 156 160 168 182 192 195 196 208 210 224 240 245 256 260 273 280 294 312 320 336 343 364 384 390 392 416 420 448 455 480 490 512 520 546 560 588 624 637 640 672 686 728 735 768 780 784 832 840 896 910 960 980 1029 1040 1092 1120 1176 1248 1274 1280 1344 1365 1372 1456 1470 1536 1560 1568 1664 1680 1715 1792 1820 1911 1920 1960 2058 2080 2184 2240 2352 2496 2548 2560 2688 2730 2744 2912 2940 3120 3136 3185 3328 3360 3430 3584 3640 3822 3840 3920 4116 4160 4368 4459 4480 4704 4992 5096 5145 5376 5460 5488 5824 5880 6240 6272 6370 6656 6720 6860 7280 7644 7680 7840 8232 8320 8736 8918 8960 9408 9555 9984 10192 10290 10752 10920 10976 11648 11760 12480 12544 12740 13377 13440 13720 14560 15288 15680 16464 16640 17472 17836 17920 18816 19110 19968 20384 20580 21840 21952 22295 23296 23520 24960 25088 25480 26754 26880 27440 29120 30576 31360 32928 33280 34944 35672 37632 38220 40768 41160 43680 43904 44590 46592 47040 49920 50960 53508 53760 54880 58240 61152 62720 65856 66885 69888 71344 75264 76440 81536 82320 87360 87808 89180 94080 99840 101920 107016 109760 116480 122304 125440 131712 133770 139776 142688 152880 163072 164640 174720 175616 178360 188160 203840 214032 219520 232960 244608 263424 267540 285376 305760 326144 329280 349440 356720 376320 407680 428064 439040 489216 526848 535080 570752 611520 658560 698880 713440 815360 856128 878080 978432 1070160 1141504 1223040 1317120 1426880 1630720 1712256 2140320 2283008 2446080 2634240 2853760 3424512 4280640 4892160 5707520 6849024 8561280 11415040 17122560 34245120
- Sum of all divisors σ(n): 137491200
- Sum of proper divisors (its aliquot sum) s(n): 103246080
- 34245120 is an abundant number, because the sum of its proper divisors (103246080) is greater than itself. Its abundance is 69000960
Bases of 34245120
- Binary: 100000101010001010000000002
- Hexadecimal: 0x20A8A00
- Base-36: KDZPC
Squares and roots of 34245120
- 34245120 squared (342451202) is 1172728243814400
- 34245120 cubed (342451203) is 40160219436813385728000
-
The
square root of 34245120 is 5851.9330139707 -
The
cube root of 34245120 is 324.7378398685
Scales and comparisons
How big is 34245120?- 34,245,120 seconds is equal to 1 year, 4 weeks, 4 days, 8 hours, 32 minutes.
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To count from 1 to 34,245,120 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 34245120 cubic inches would be around 27.1 feet tall.
Recreational maths with 34245120
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