3948168
3,948,168 is an even composite number composed of five prime numbers multiplied together.
What does the number 3948168 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 64 divisors.
3948168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 3948168:
23 × 3 × 7 × 71 × 331
(2 × 2 × 2 × 3 × 7 × 71 × 331)See below for interesting mathematical facts about the number 3948168 from the Numbermatics database.
Names of 3948168
- Cardinal: 3948168 can be written as Three million, nine hundred forty-eight thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 3.948168 × 106
Factors of 3948168
Divisors of 3948168
- Number of divisors d(n): 64
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 331 426 497 568 662 852 993 994 1324 1491 1704 1986 1988 2317 2648 2982 3972 3976 4634 5964 6951 7944 9268 11928 13902 18536 23501 27804 47002 55608 70503 94004 141006 164507 188008 282012 329014 493521 564024 658028 987042 1316056 1974084 3948168
- Sum of all divisors σ(n): 11473920
- Sum of proper divisors (its aliquot sum) s(n): 7525752
- 3948168 is an abundant number, because the sum of its proper divisors (7525752) is greater than itself. Its abundance is 3577584
Bases of 3948168
- Binary: 11110000111110100010002
- Hexadecimal: 0x3C3E88
- Base-36: 2CMFC
Squares and roots of 3948168
- 3948168 squared (39481682) is 15588030556224
- 3948168 cubed (39481683) is 61544163425105797632
-
The
square root of 3948168 is 1986.9997483643 -
The
cube root of 3948168 is 158.0514707061
Scales and comparisons
How big is 3948168?- 3,948,168 seconds is equal to 6 weeks, 3 days, 16 hours, 42 minutes, 48 seconds.
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To count from 1 to 3,948,168 would take you about nine 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 3948168 cubic inches would be around 13.2 feet tall.
Recreational maths with 3948168
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The information we have on file for 3948168 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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