830916864
830,916,864 is an even composite number composed of four prime numbers multiplied together.
830916864 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 830916864:
28 × 32 × 43 × 8387
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 43 × 8387)See below for interesting mathematical facts about the number 830916864 from the Numbermatics database.
Names of 830916864
- Cardinal: 830916864 can be written as Eight hundred thirty million, nine hundred sixteen thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 8.30916864 × 108
Factors of 830916864
Divisors of 830916864
- Number of divisors d(n): 108
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 516 576 688 768 774 1032 1152 1376 1548 2064 2304 2752 3096 4128 5504 6192 8256 8387 11008 12384 16512 16774 24768 25161 33024 33548 49536 50322 67096 75483 99072 100644 134192 150966 201288 268384 301932 360641 402576 536768 603864 721282 805152 1073536 1081923 1207728 1442564 1610304 2147072 2163846 2415456 2885128 3220608 3245769 4327692 4830912 5770256 6441216 6491538 8655384 9661824 11540512 12983076 17310768 19323648 23081024 25966152 34621536 46162048 51932304 69243072 92324096 103864608 138486144 207729216 276972288 415458432 830916864
- Sum of all divisors σ(n): 2451745296
- Sum of proper divisors (its aliquot sum) s(n): 1620828432
- 830916864 is an abundant number, because the sum of its proper divisors (1620828432) is greater than itself. Its abundance is 789911568
Bases of 830916864
- Binary: 1100011000011011001001000000002
- Hexadecimal: 0x3186C900
- Base-36: DQPFK0
Squares and roots of 830916864
- 830916864 squared (8309168642) is 690422834879594496
- 830916864 cubed (8309168643) is 573683976792142476207980544
-
The
square root of 830916864 is 28825.6285967887 -
The
cube root of 830916864 is 940.1255543773
Scales and comparisons
How big is 830916864?- 830,916,864 seconds is equal to 26 years, 21 weeks, 6 days, 2 hours, 14 minutes, 24 seconds.
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To count from 1 to 830,916,864 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 830916864 cubic inches would be around 78.3 feet tall.
Recreational maths with 830916864
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