830339328
830,339,328 is an even composite number composed of five prime numbers multiplied together.
830339328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 830339328:
28 × 3 × 7 × 13 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 109 × 109)See below for interesting mathematical facts about the number 830339328 from the Numbermatics database.
Names of 830339328
- Cardinal: 830339328 can be written as Eight hundred thirty million, three hundred thirty-nine thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 8.30339328 × 108
Factors of 830339328
Divisors of 830339328
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 109 112 128 156 168 182 192 208 218 224 256 273 312 327 336 364 384 416 436 448 546 624 654 672 728 763 768 832 872 896 1092 1248 1308 1344 1417 1456 1526 1664 1744 1792 2184 2289 2496 2616 2688 2834 2912 3052 3328 3488 4251 4368 4578 4992 5232 5376 5668 5824 6104 6976 8502 8736 9156 9919 9984 10464 11336 11648 11881 12208 13952 17004 17472 18312 19838 20928 22672 23296 23762 24416 27904 29757 34008 34944 35643 36624 39676 41856 45344 47524 48832 59514 68016 69888 71286 73248 79352 83167 83712 90688 95048 97664 119028 136032 142572 146496 154453 158704 166334 181376 190096 195328 238056 249501 272064 285144 292992 308906 317408 332668 362752 380192 463359 476112 499002 544128 570288 585984 617812 634816 665336 760384 926718 952224 998004 1081171 1088256 1140576 1235624 1269632 1330672 1520768 1853436 1904448 1996008 2162342 2281152 2471248 2539264 2661344 3041536 3243513 3706872 3808896 3992016 4324684 4562304 4942496 5322688 6487026 7413744 7617792 7984032 8649368 9124608 9884992 10645376 12974052 14827488 15968064 17298736 19769984 21290752 25948104 29654976 31936128 34597472 39539968 51896208 59309952 63872256 69194944 103792416 118619904 138389888 207584832 276779776 415169664 830339328
- Sum of all divisors σ(n): 2745075648
- Sum of proper divisors (its aliquot sum) s(n): 1914736320
- 830339328 is an abundant number, because the sum of its proper divisors (1914736320) is greater than itself. Its abundance is 1084396992
Bases of 830339328
- Binary: 1100010111110111111001000000002
- Hexadecimal: 0x317DF900
- Base-36: DQD1XC
Squares and roots of 830339328
- 830339328 squared (8303393282) is 689463399623491584
- 830339328 cubed (8303393283) is 572488575923965454872215552
-
The
square root of 830339328 is 28815.6091034009 -
The
cube root of 830339328 is 939.9076897431
Scales and comparisons
How big is 830339328?- 830,339,328 seconds is equal to 26 years, 20 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
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To count from 1 to 830,339,328 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 830339328 cubic inches would be around 78.3 feet tall.
Recreational maths with 830339328
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The information we have on file for 830339328 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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