830229400
830,229,400 is an even composite number composed of six prime numbers multiplied together.
830229400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 830229400:
23 × 52 × 7 × 112 × 132 × 29
(2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 13 × 13 × 29)See below for interesting mathematical facts about the number 830229400 from the Numbermatics database.
Names of 830229400
- Cardinal: 830229400 can be written as Eight hundred thirty million, two hundred twenty-nine thousand, four hundred.
Scientific notation
- Scientific notation: 8.302294 × 108
Factors of 830229400
Divisors of 830229400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 20 22 25 26 28 29 35 40 44 50 52 55 56 58 65 70 77 88 91 100 104 110 116 121 130 140 143 145 154 169 175 182 200 203 220 232 242 260 275 280 286 290 308 319 325 338 350 364 377 385 406 440 455 484 520 550 572 580 605 616 638 650 676 700 715 725 728 754 770 812 845 847 910 968 1001 1015 1100 1144 1160 1183 1210 1276 1300 1352 1400 1430 1450 1508 1540 1573 1595 1624 1690 1694 1820 1859 1885 1925 2002 2030 2200 2233 2275 2366 2420 2552 2600 2639 2860 2900 3016 3025 3080 3146 3190 3380 3388 3509 3575 3640 3718 3770 3850 4004 4060 4147 4225 4235 4466 4550 4732 4840 4901 5005 5075 5278 5720 5800 5915 6050 6292 6380 6760 6776 7018 7150 7436 7540 7700 7865 7975 8008 8120 8294 8450 8470 8932 9100 9295 9425 9464 9802 10010 10150 10556 11011 11165 11830 12100 12584 12760 13013 13195 14036 14300 14872 15080 15400 15730 15950 16588 16900 16940 17545 17864 18200 18590 18850 19604 20020 20300 20449 20735 21112 21175 22022 22330 23660 24200 24505 24563 25025 26026 26390 28072 28600 29029 29575 31460 31900 33176 33800 33880 34307 35090 37180 37700 39208 39325 40040 40600 40898 41470 42350 44044 44660 45617 46475 47320 49010 49126 50050 52052 52780 53911 55055 55825 58058 59150 62920 63800 65065 65975 68614 70180 74360 75400 78650 81796 82940 84700 87725 88088 89320 91234 92950 98020 98252 100100 102245 103675 104104 105560 107822 110110 111650 116116 118300 122525 122815 130130 131950 137228 140360 143143 145145 157300 163592 165880 169400 171535 175450 182468 185900 196040 196504 200200 204490 207350 215644 220220 223300 228085 232232 236600 245050 245630 260260 263900 269555 274456 275275 286286 290290 314600 319319 325325 343070 350900 364936 371800 377377 408980 414700 431288 440440 446600 456170 490100 491260 511225 520520 527800 539110 550550 572572 580580 593021 614075 638638 650650 686140 701800 715715 725725 754754 817960 829400 857675 912340 980200 982520 1022450 1078220 1101100 1140425 1145144 1161160 1186042 1228150 1277276 1301300 1347775 1372280 1431430 1451450 1509508 1596595 1715350 1824680 1886885 2044900 2156440 2202200 2280850 2372084 2456300 2554552 2602600 2695550 2862860 2902900 2965105 3019016 3193190 3430700 3578575 3773770 4089800 4151147 4561700 4744168 4912600 5391100 5725720 5805800 5930210 6386380 6861400 7157150 7547540 7982975 8302294 9123400 9434425 10782200 11860420 12772760 14314300 14825525 15095080 15965950 16604588 18868850 20755735 23720840 28628600 29651050 31931900 33209176 37737700 41511470 59302100 63863800 75475400 83022940 103778675 118604200 166045880 207557350 415114700 830229400
- Sum of all divisors σ(n): 2716232400
- Sum of proper divisors (its aliquot sum) s(n): 1886003000
- 830229400 is an abundant number, because the sum of its proper divisors (1886003000) is greater than itself. Its abundance is 1055773600
Bases of 830229400
- Binary: 1100010111110001001011100110002
- Hexadecimal: 0x317C4B98
- Base-36: DQAP3S
Squares and roots of 830229400
- 830229400 squared (8302294002) is 689280856624360000
- 830229400 cubed (8302294003) is 572261232026728428184000000
-
The
square root of 830229400 is 28813.7016018421 -
The
cube root of 830229400 is 939.8662100215
Scales and comparisons
How big is 830229400?- 830,229,400 seconds is equal to 26 years, 20 weeks, 5 days, 3 hours, 16 minutes, 40 seconds.
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To count from 1 to 830,229,400 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 830229400 cubic inches would be around 78.3 feet tall.
Recreational maths with 830229400
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