12408

12,408 is an even composite number composed of four prime numbers multiplied together.

What does the number 12408 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

12408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 12408:

2³ × 3 × 11 × 47

(2 × 2 × 2 × 3 × 11 × 47)

See below for interesting mathematical facts about the number 12408 from the Numbermatics database.

Names of 12408

Cardinal: 12408 can be written as Twelve thousand, four hundred eight.

Scientific notation

Scientific notation: 1.2408 × 10⁴

Factors of 12408

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 63

Divisors of 12408

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 12408
Sum of all divisors σ(n): 34560
Sum of proper divisors (its aliquot sum) s(n): 22152
12408 is an abundant number, because the sum of its proper divisors (22152) is greater than itself. Its abundance is 9744

Bases of 12408

Binary: 11000001111000₂
Hexadecimal: 0x3078
Base-36: 9KO

Squares and roots of 12408

12408 squared (12408²) is 153958464
12408 cubed (12408³) is 1910316621312
The square root of 12408 is 111.3912025251
The cube root of 12408 is 23.1508670861

Scales and comparisons

How big is 12408?

12,408 seconds is equal to 3 hours, 26 minutes, 48 seconds.
To count from 1 to 12,408 would take you about 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 12408 cubic inches would be around 1.9 feet tall.

Recreational maths with 12408

12408 backwards is 80421
The number of decimal digits it has is: 5
The sum of 12408's digits is 15
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/12408/?utm_source=shared">Number 12408 - 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/12408/?utm_source=shared]Number 12408 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 12408 - Facts about the integer". Numbermatics.com. 2024. Web. 20 April 2024.

APA style:
Numbermatics. (2024). Number 12408 - Facts about the integer. Retrieved 20 April 2024, from https://numbermatics.com/n/12408/

Chicago style:
Numbermatics. 2024. "Number 12408 - Facts about the integer". https://numbermatics.com/n/12408/

The information we have on file for 12408 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 12408, math, Factors of 12408, curriculum, school, college, exams, university, Prime factorization of 12408, STEM, science, technology, engineering, physics, economics, calculator, twelve thousand, four hundred eight.