3438225
3,438,225 is an odd composite number composed of five prime numbers multiplied together.
What does the number 3438225 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 72 divisors.
3438225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 3438225:
32 × 52 × 7 × 37 × 59
(3 × 3 × 5 × 5 × 7 × 37 × 59)See below for interesting mathematical facts about the number 3438225 from the Numbermatics database.
Names of 3438225
- Cardinal: 3438225 can be written as Three million, four hundred thirty-eight thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 3.438225 × 106
Factors of 3438225
Divisors of 3438225
- Number of divisors d(n): 72
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Complete list of divisors:
1 3 5 7 9 15 21 25 35 37 45 59 63 75 105 111 175 177 185 225 259 295 315 333 413 525 531 555 777 885 925 1239 1295 1475 1575 1665 2065 2183 2331 2655 2775 3717 3885 4425 6195 6475 6549 8325 10325 10915 11655 13275 15281 18585 19425 19647 30975 32745 45843 54575 58275 76405 92925 98235 137529 163725 229215 382025 491175 687645 1146075 3438225
- Sum of all divisors σ(n): 7350720
- Sum of proper divisors (its aliquot sum) s(n): 3912495
- 3438225 is an abundant number, because the sum of its proper divisors (3912495) is greater than itself. Its abundance is 474270
Bases of 3438225
- Binary: 11010001110110100100012
- Hexadecimal: 0x347691
- Base-36: 21OY9
Squares and roots of 3438225
- 3438225 squared (34382252) is 11821391150625
- 3438225 cubed (34382253) is 40644602588857640625
-
The
square root of 3438225 is 1854.2451294259 -
The
cube root of 3438225 is 150.9308778263
Scales and comparisons
How big is 3438225?- 3,438,225 seconds is equal to 5 weeks, 4 days, 19 hours, 3 minutes, 45 seconds.
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To count from 1 to 3,438,225 would take you about eight 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 3438225 cubic inches would be around 12.6 feet tall.
Recreational maths with 3438225
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The information we have on file for 3438225 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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