30307200
30,307,200 is an even composite number composed of six prime numbers multiplied together.
30307200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 30307200:
27 × 3 × 52 × 7 × 11 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 41)See below for interesting mathematical facts about the number 30307200 from the Numbermatics database.
Names of 30307200
- Cardinal: 30307200 can be written as Thirty million, three hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 3.03072 × 107
Factors of 30307200
Divisors of 30307200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 41 42 44 48 50 55 56 60 64 66 70 75 77 80 82 84 88 96 100 105 110 112 120 123 128 132 140 150 154 160 164 165 168 175 176 192 200 205 210 220 224 231 240 246 264 275 280 287 300 308 320 328 330 336 350 352 384 385 400 410 420 440 448 451 462 480 492 525 528 550 560 574 600 615 616 640 656 660 672 700 704 770 800 820 825 840 861 880 896 902 924 960 984 1025 1050 1056 1100 1120 1148 1155 1200 1230 1232 1312 1320 1344 1353 1400 1408 1435 1540 1600 1640 1650 1680 1722 1760 1804 1848 1920 1925 1968 2050 2100 2112 2200 2240 2255 2296 2310 2400 2460 2464 2624 2640 2688 2706 2800 2870 3075 3080 3157 3200 3280 3300 3360 3444 3520 3608 3696 3850 3936 4100 4200 4224 4305 4400 4480 4510 4592 4620 4800 4920 4928 5248 5280 5412 5600 5740 5775 6150 6160 6314 6560 6600 6720 6765 6888 7040 7175 7216 7392 7700 7872 8200 8400 8610 8800 9020 9184 9240 9471 9600 9840 9856 10560 10824 11200 11275 11480 11550 12300 12320 12628 13120 13200 13440 13530 13776 14350 14432 14784 15400 15744 15785 16400 16800 17220 17600 18040 18368 18480 18942 19680 21120 21525 21648 22400 22550 22960 23100 24600 24640 25256 26240 26400 27060 27552 28700 28864 29568 30800 31570 32800 33600 33825 34440 35200 36080 36736 36960 37884 39360 43050 43296 45100 45920 46200 47355 49200 49280 50512 52800 54120 55104 57400 57728 61600 63140 65600 67200 67650 68880 72160 73920 75768 78720 78925 86100 86592 90200 91840 92400 94710 98400 101024 105600 108240 110208 114800 123200 126280 131200 135300 137760 144320 147840 151536 157850 172200 173184 180400 183680 184800 189420 196800 202048 216480 229600 236775 246400 252560 270600 275520 288640 303072 315700 344400 360800 369600 378840 393600 404096 432960 459200 473550 505120 541200 551040 606144 631400 688800 721600 739200 757680 865920 918400 947100 1010240 1082400 1212288 1262800 1377600 1443200 1515360 1894200 2020480 2164800 2525600 2755200 3030720 3788400 4329600 5051200 6061440 7576800 10102400 15153600 30307200
- Sum of all divisors σ(n): 127491840
- Sum of proper divisors (its aliquot sum) s(n): 97184640
- 30307200 is an abundant number, because the sum of its proper divisors (97184640) is greater than itself. Its abundance is 66877440
Bases of 30307200
- Binary: 11100111001110011100000002
- Hexadecimal: 0x1CE7380
- Base-36: I1L6O
Squares and roots of 30307200
- 30307200 squared (303072002) is 918526371840000
- 30307200 cubed (303072003) is 27837962456629248000000
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The
square root of 30307200 is 5505.1975441395 -
The
cube root of 30307200 is 311.7802528911
Scales and comparisons
How big is 30307200?- 30,307,200 seconds is equal to 50 weeks, 18 hours, 40 minutes.
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To count from 1 to 30,307,200 would take you about twenty-three 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 30307200 cubic inches would be around 26 feet tall.
Recreational maths with 30307200
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