216384
216,384 is an even composite number composed of four prime numbers multiplied together.
What does the number 216384 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.
216384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 216384:
26 × 3 × 72 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 23)See below for interesting mathematical facts about the number 216384 from the Numbermatics database.
Names of 216384
- Cardinal: 216384 can be written as Two hundred sixteen thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 2.16384 × 105
Factors of 216384
Divisors of 216384
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 64 69 84 92 96 98 112 138 147 161 168 184 192 196 224 276 294 322 336 368 392 448 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1344 1472 1568 1932 2208 2254 2352 2576 3136 3381 3864 4416 4508 4704 5152 6762 7728 9016 9408 10304 13524 15456 18032 27048 30912 36064 54096 72128 108192 216384
- Sum of all divisors σ(n): 694944
- Sum of proper divisors (its aliquot sum) s(n): 478560
- 216384 is an abundant number, because the sum of its proper divisors (478560) is greater than itself. Its abundance is 262176
Bases of 216384
- Binary: 1101001101010000002
- Hexadecimal: 0x34D40
- Base-36: 4MYO
Squares and roots of 216384
- 216384 squared (2163842) is 46822035456
- 216384 cubed (2163843) is 10131539320111104
-
The
square root of 216384 is 465.1709363235 -
The
cube root of 216384 is 60.0355345063
Scales and comparisons
How big is 216384?- 216,384 seconds is equal to 2 days, 12 hours, 6 minutes, 24 seconds.
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To count from 1 to 216,384 would take you about two days.
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 216384 cubic inches would be around 5 feet tall.
Recreational maths with 216384
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The information we have on file for 216384 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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