684 is an even composite number composed of three prime numbers multiplied together.

What does the number 684 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

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

Prime factorization of 684:

22 × 32 × 19

(2 × 2 × 3 × 3 × 19)

See below for interesting mathematical facts about the number 684 from the Numbermatics database.

Names of 684

  • Cardinal: 684 can be written as Six hundred eighty-four.

Scientific notation

  • Scientific notation: 6.84 × 102

Factors of 684

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 24

Divisors of 684

  • Number of divisors d(n): 18
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1820
  • Sum of proper divisors (its aliquot sum) s(n): 1136
  • 684 is an abundant number, because the sum of its proper divisors (1136) is greater than itself. Its abundance is 452

Bases of 684

  • Binary: 10101011002
  • Hexadecimal: 0x2AC
  • Base-36: J0

Squares and roots of 684

  • 684 squared (6842) is 467856
  • 684 cubed (6843) is 320013504
  • The square root of 684 is 26.1533936613
  • The cube root of 684 is 8.8108681149

Scales and comparisons

How big is 684?
  • 684 seconds is equal to 11 minutes, 24 seconds.
  • To count from 1 to 684 would take you about five 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 684 cubic inches would be around 0.7 feet tall.

Recreational maths with 684

  • 684 backwards is 486
  • 684 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 684's digits is 18
  • 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 684 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.

APA style:
Numbermatics. (2024). Number 684 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/684/

Chicago style:
Numbermatics. 2024. "Number 684 - Facts about the integer". https://numbermatics.com/n/684/

The information we have on file for 684 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 684, math, Factors of 684, curriculum, school, college, exams, university, Prime factorization of 684, STEM, science, technology, engineering, physics, economics, calculator, six hundred eighty-four.

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