32968

32,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 32968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

32968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 32968:

2³ × 13 × 317

(2 × 2 × 2 × 13 × 317)

See below for interesting mathematical facts about the number 32968 from the Numbermatics database.

Names of 32968

Cardinal: 32968 can be written as Thirty-two thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 3.2968 × 10⁴

Factors of 32968

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 332

Divisors of 32968

Number of divisors d(n): 16
Complete list of divisors:
1 2 4 8 13 26 52 104 317 634 1268 2536 4121 8242 16484 32968
Sum of all divisors σ(n): 66780
Sum of proper divisors (its aliquot sum) s(n): 33812
32968 is an abundant number, because the sum of its proper divisors (33812) is greater than itself. Its abundance is 844

Bases of 32968

Binary: 1000000011001000₂
Hexadecimal: 0x80C8
Base-36: PFS

Squares and roots of 32968

32968 squared (32968²) is 1086889024
32968 cubed (32968³) is 35832557343232
The square root of 32968 is 181.5709227823
The cube root of 32968 is 32.0649721593

Scales and comparisons

How big is 32968?

32,968 seconds is equal to 9 hours, 9 minutes, 28 seconds.
To count from 1 to 32,968 would take you about nine 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 32968 cubic inches would be around 2.7 feet tall.

Recreational maths with 32968

32968 backwards is 86923
The number of decimal digits it has is: 5
The sum of 32968's digits is 28
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/32968/?utm_source=shared">Number 32968 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/32968/?utm_source=shared]Number 32968 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 32968 - Facts about the integer". Numbermatics.com. 2023. Web. 2 December 2023.

APA style:
Numbermatics. (2023). Number 32968 - Facts about the integer. Retrieved 2 December 2023, from https://numbermatics.com/n/32968/

Chicago style:
Numbermatics. 2023. "Number 32968 - Facts about the integer". https://numbermatics.com/n/32968/

The information we have on file for 32968 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!

Keywords: Divisors of 32968, math, Factors of 32968, curriculum, school, college, exams, university, Prime factorization of 32968, STEM, science, technology, engineering, physics, economics, calculator, thirty-two thousand, nine hundred sixty-eight.