353 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 353 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

353 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 353:


See below for interesting mathematical facts about the number 353 from the Numbermatics database.

Names of 353

  • Cardinal: 353 can be written as Three hundred fifty-three.

Scientific notation

  • Scientific notation: 3.53 × 102

Factors of 353

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 353

Divisors of 353

  • Number of divisors d(n): 2
  • Complete list of divisors:
    1 353
  • Sum of all divisors σ(n): 354
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 353 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 352

Bases of 353

  • Binary: 1011000012
  • Hexadecimal: 0x161
  • Base-36: 9T

Squares and roots of 353

  • 353 squared (3532) is 124609
  • 353 cubed (3533) is 43986977
  • The square root of 353 is 18.7882942281
  • The cube root of 353 is 7.0673766147

Scales and comparisons

How big is 353?
  • 353 seconds is equal to 5 minutes, 53 seconds.
  • To count from 1 to 353 would take you about two minutes.

    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 353 cubic inches would be around 0.6 feet tall.

Recreational maths with 353

  • 353 is the same when its digits are reversed! That makes it a palindromic prime number.
  • The number of decimal digits it has is: 3
  • The sum of 353's digits is 11
  • 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.

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

Cite this page

MLA style:
"Number 353 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.

APA style:
Numbermatics. (2024). Number 353 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/353/

Chicago style:
Numbermatics. 2024. "Number 353 - Facts about the integer". https://numbermatics.com/n/353/

The information we have on file for 353 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 353, math, Factors of 353, curriculum, school, college, exams, university, Prime factorization of 353, STEM, science, technology, engineering, physics, economics, calculator, three hundred fifty-three.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.