3144960
3,144,960 is an even composite number composed of five prime numbers multiplied together.
3144960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 3144960:
28 × 33 × 5 × 7 × 13
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13)See below for interesting mathematical facts about the number 3144960 from the Numbermatics database.
Names of 3144960
- Cardinal: 3144960 can be written as Three million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.14496 × 106
Factors of 3144960
Divisors of 3144960
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 126 128 130 135 140 144 156 160 168 180 182 189 192 195 208 210 216 224 234 240 252 256 260 270 273 280 288 312 315 320 336 351 360 364 378 384 390 416 420 432 448 455 468 480 504 520 540 546 560 576 585 624 630 640 672 702 720 728 756 768 780 819 832 840 864 896 910 936 945 960 1008 1040 1080 1092 1120 1152 1170 1248 1260 1280 1344 1365 1404 1440 1456 1512 1560 1638 1664 1680 1728 1755 1792 1820 1872 1890 1920 2016 2080 2160 2184 2240 2304 2340 2457 2496 2520 2688 2730 2808 2880 2912 3024 3120 3276 3328 3360 3456 3510 3640 3744 3780 3840 4032 4095 4160 4320 4368 4480 4680 4914 4992 5040 5376 5460 5616 5760 5824 6048 6240 6552 6720 6912 7020 7280 7488 7560 8064 8190 8320 8640 8736 8960 9360 9828 9984 10080 10920 11232 11520 11648 12096 12285 12480 13104 13440 14040 14560 14976 15120 16128 16380 16640 17280 17472 18720 19656 20160 21840 22464 23296 24192 24570 24960 26208 26880 28080 29120 29952 30240 32760 34560 34944 37440 39312 40320 43680 44928 48384 49140 49920 52416 56160 58240 60480 65520 69888 74880 78624 80640 87360 89856 98280 104832 112320 116480 120960 131040 149760 157248 174720 196560 209664 224640 241920 262080 314496 349440 393120 449280 524160 628992 786240 1048320 1572480 3144960
- Sum of all divisors σ(n): 13735680
- Sum of proper divisors (its aliquot sum) s(n): 10590720
- 3144960 is an abundant number, because the sum of its proper divisors (10590720) is greater than itself. Its abundance is 7445760
Bases of 3144960
- Binary: 10111111111101000000002
- Hexadecimal: 0x2FFD00
- Base-36: 1VEO0
Squares and roots of 3144960
- 3144960 squared (31449602) is 9890773401600
- 3144960 cubed (31449603) is 31106086717095936000
-
The
square root of 3144960 is 1773.4035073835 -
The
cube root of 3144960 is 146.5114979697
Scales and comparisons
How big is 3144960?- 3,144,960 seconds is equal to 5 weeks, 1 day, 9 hours, 36 minutes.
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To count from 1 to 3,144,960 would take you about seven 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 3144960 cubic inches would be around 12.2 feet tall.
Recreational maths with 3144960
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The information we have on file for 3144960 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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