30829968
30,829,968 is an even composite number composed of five prime numbers multiplied together.
30829968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 30829968:
24 × 32 × 13 × 43 × 383
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 43 × 383)See below for interesting mathematical facts about the number 30829968 from the Numbermatics database.
Names of 30829968
- Cardinal: 30829968 can be written as Thirty million, eight hundred twenty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.0829968 × 107
Factors of 30829968
Divisors of 30829968
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 383 387 468 516 559 624 688 766 774 936 1032 1118 1149 1532 1548 1677 1872 2064 2236 2298 3064 3096 3354 3447 4472 4596 4979 5031 6128 6192 6708 6894 8944 9192 9958 10062 13416 13788 14937 16469 18384 19916 20124 26832 27576 29874 32938 39832 40248 44811 49407 55152 59748 65876 79664 80496 89622 98814 119496 131752 148221 179244 197628 214097 238992 263504 296442 358488 395256 428194 592884 642291 716976 790512 856388 1185768 1284582 1712776 1926873 2371536 2569164 3425552 3853746 5138328 7707492 10276656 15414984 30829968
- Sum of all divisors σ(n): 95327232
- Sum of proper divisors (its aliquot sum) s(n): 64497264
- 30829968 is an abundant number, because the sum of its proper divisors (64497264) is greater than itself. Its abundance is 33667296
Bases of 30829968
- Binary: 11101011001101101100100002
- Hexadecimal: 0x1D66D90
- Base-36: ICSK0
Squares and roots of 30829968
- 30829968 squared (308299682) is 950486926881024
- 30829968 cubed (308299683) is 29303481540160309727232
-
The
square root of 30829968 is 5552.4740431631 -
The
cube root of 30829968 is 313.5626730007
Scales and comparisons
How big is 30829968?- 30,829,968 seconds is equal to 50 weeks, 6 days, 19 hours, 52 minutes, 48 seconds.
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To count from 1 to 30,829,968 would take you about twenty-four 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 30829968 cubic inches would be around 26.1 feet tall.
Recreational maths with 30829968
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