171264

171,264 is an even composite number composed of three prime numbers multiplied together.

What does the number 171264 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

171264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 171264:

2⁸ × 3 × 223

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 223)

See below for interesting mathematical facts about the number 171264 from the Numbermatics database.

Names of 171264

Cardinal: 171264 can be written as One hundred seventy-one thousand, two hundred sixty-four.

Scientific notation

Scientific notation: 1.71264 × 10⁵

Factors of 171264

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 228

Divisors of 171264

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 669 768 892 1338 1784 2676 3568 5352 7136 10704 14272 21408 28544 42816 57088 85632 171264
Sum of all divisors σ(n): 457856
Sum of proper divisors (its aliquot sum) s(n): 286592
171264 is an abundant number, because the sum of its proper divisors (286592) is greater than itself. Its abundance is 115328

Bases of 171264

Binary: 101001110100000000₂
Hexadecimal: 0x29D00
Base-36: 3O5C

Squares and roots of 171264

171264 squared (171264²) is 29331357696
171264 cubed (171264³) is 5023405644447744
The square root of 171264 is 413.8405490041
The cube root of 171264 is 55.5335403141

Scales and comparisons

How big is 171264?

171,264 seconds is equal to 1 day, 23 hours, 34 minutes, 24 seconds.
To count from 1 to 171,264 would take you about twenty-three hours.

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 171264 cubic inches would be around 4.6 feet tall.

Recreational maths with 171264

171264 backwards is 462171
The number of decimal digits it has is: 6
The sum of 171264's digits is 21
More coming soon!

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The information we have on file for 171264 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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