5342400
5,342,400 is an even composite number composed of five prime numbers multiplied together.
5342400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 5342400:
26 × 32 × 52 × 7 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 53)See below for interesting mathematical facts about the number 5342400 from the Numbermatics database.
Names of 5342400
- Cardinal: 5342400 can be written as Five million, three hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 5.3424 × 106
Factors of 5342400
Divisors of 5342400
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 53 56 60 63 64 70 72 75 80 84 90 96 100 105 106 112 120 126 140 144 150 159 160 168 175 180 192 200 210 212 224 225 240 252 265 280 288 300 315 318 320 336 350 360 371 400 420 424 448 450 477 480 504 525 530 560 576 600 630 636 672 700 720 742 795 800 840 848 900 954 960 1008 1050 1060 1113 1120 1200 1260 1272 1325 1344 1400 1440 1484 1575 1590 1600 1680 1696 1800 1855 1908 2016 2100 2120 2226 2240 2385 2400 2520 2544 2650 2800 2880 2968 3150 3180 3339 3360 3392 3600 3710 3816 3975 4032 4200 4240 4452 4770 4800 5040 5088 5300 5565 5600 5936 6300 6360 6678 6720 7200 7420 7632 7950 8400 8480 8904 9275 9540 10080 10176 10600 11130 11200 11872 11925 12600 12720 13356 14400 14840 15264 15900 16695 16800 16960 17808 18550 19080 20160 21200 22260 23744 23850 25200 25440 26712 27825 29680 30528 31800 33390 33600 35616 37100 38160 42400 44520 47700 50400 50880 53424 55650 59360 63600 66780 71232 74200 76320 83475 84800 89040 95400 100800 106848 111300 118720 127200 133560 148400 152640 166950 178080 190800 213696 222600 254400 267120 296800 333900 356160 381600 445200 534240 593600 667800 763200 890400 1068480 1335600 1780800 2671200 5342400
- Sum of all divisors σ(n): 22110192
- Sum of proper divisors (its aliquot sum) s(n): 16767792
- 5342400 is an abundant number, because the sum of its proper divisors (16767792) is greater than itself. Its abundance is 11425392
Bases of 5342400
- Binary: 101000110000100110000002
- Hexadecimal: 0x5184C0
- Base-36: 36I80
Squares and roots of 5342400
- 5342400 squared (53424002) is 28541237760000
- 5342400 cubed (53424003) is 152478708609024000000
-
The
square root of 5342400 is 2311.3632341109 -
The
cube root of 5342400 is 174.8150426829
Scales and comparisons
How big is 5342400?- 5,342,400 seconds is equal to 8 weeks, 5 days, 20 hours.
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To count from 1 to 5,342,400 would take you about thirteen 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 5342400 cubic inches would be around 14.6 feet tall.
Recreational maths with 5342400
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The information we have on file for 5342400 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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