830484900
830,484,900 is an even composite number composed of six prime numbers multiplied together.
830484900 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 830484900:
22 × 34 × 52 × 7 × 97 × 151
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 97 × 151)See below for interesting mathematical facts about the number 830484900 from the Numbermatics database.
Names of 830484900
- Cardinal: 830484900 can be written as Eight hundred thirty million, four hundred eighty-four thousand, nine hundred.
Scientific notation
- Scientific notation: 8.304849 × 108
Factors of 830484900
Divisors of 830484900
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 81 84 90 97 100 105 108 126 135 140 150 151 162 175 180 189 194 210 225 252 270 291 300 302 315 324 350 378 388 405 420 450 453 485 525 540 567 582 604 630 675 679 700 755 756 810 873 900 906 945 970 1050 1057 1134 1164 1260 1350 1358 1359 1455 1510 1575 1620 1746 1812 1890 1940 2025 2037 2100 2114 2265 2268 2425 2619 2700 2716 2718 2835 2910 3020 3150 3171 3395 3492 3775 3780 4050 4074 4077 4228 4365 4530 4725 4850 5238 5285 5436 5670 5820 6111 6300 6342 6790 6795 7275 7550 7857 8100 8148 8154 8730 9060 9450 9513 9700 10185 10476 10570 11325 11340 12222 12231 12684 13095 13580 13590 14175 14550 14647 15100 15714 15855 16308 16975 17460 18333 18900 19026 20370 20385 21140 21825 22650 24444 24462 26190 26425 27180 28350 28539 29100 29294 30555 31428 31710 33950 33975 36666 38052 39285 40740 40770 43650 43941 45300 47565 48924 50925 52380 52850 54999 56700 57078 58588 61110 61155 63420 65475 67900 67950 73235 73332 78570 79275 81540 85617 87300 87882 91665 95130 101850 101925 102529 105700 109998 114156 122220 122310 130950 131823 135900 142695 146470 152775 157140 158550 171234 175764 183330 190260 196425 203700 203850 205058 219705 219996 237825 244620 261900 263646 274995 285390 292940 305550 305775 307587 317100 342468 366175 366660 392850 395469 407700 410116 428085 439410 458325 475650 512645 527292 549990 570780 611100 611550 615174 659115 713475 732350 785700 790938 856170 878820 916650 922761 951300 1025290 1098525 1099980 1186407 1223100 1230348 1318230 1374975 1426950 1464700 1537935 1581876 1712340 1833300 1845522 1977345 2050580 2140425 2197050 2372814 2563225 2636460 2749950 2768283 2853900 3075870 3295575 3691044 3954690 4280850 4394100 4613805 4745628 5126450 5499900 5536566 5932035 6151740 6591150 7689675 7909380 8304849 8561700 9227610 9886725 10252900 11073132 11864070 13182300 13841415 15379350 16609698 18455220 19773450 23069025 23728140 27682830 29660175 30758700 33219396 39546900 41524245 46138050 55365660 59320350 69207075 83048490 92276100 118640700 138414150 166096980 207621225 276828300 415242450 830484900
- Sum of all divisors σ(n): 3128994176
- Sum of proper divisors (its aliquot sum) s(n): 2298509276
- 830484900 is an abundant number, because the sum of its proper divisors (2298509276) is greater than itself. Its abundance is 1468024376
Bases of 830484900
- Binary: 1100011000000000110001101001002
- Hexadecimal: 0x318031A4
- Base-36: DQG690
Squares and roots of 830484900
- 830484900 squared (8304849002) is 689705169128010000
- 830484900 cubed (8304849003) is 572789728412758472049000000
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The
square root of 830484900 is 28818.1349153619 -
The
cube root of 830484900 is 939.9626135727
Scales and comparisons
How big is 830484900?- 830,484,900 seconds is equal to 26 years, 21 weeks, 1 day, 2 hours, 15 minutes.
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To count from 1 to 830,484,900 would take you about thirty-nine years!
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 830484900 cubic inches would be around 78.3 feet tall.
Recreational maths with 830484900
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