33408

33,408 is an even composite number composed of three prime numbers multiplied together.

What does the number 33408 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

33408 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 33408:

2⁷ × 3² × 29

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 29)

See below for interesting mathematical facts about the number 33408 from the Numbermatics database.

Names of 33408

Cardinal: 33408 can be written as Thirty-three thousand, four hundred eight.

Scientific notation

Scientific notation: 3.3408 × 10⁴

Factors of 33408

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 34

Divisors of 33408

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408
Sum of all divisors σ(n): 99450
Sum of proper divisors (its aliquot sum) s(n): 66042
33408 is an abundant number, because the sum of its proper divisors (66042) is greater than itself. Its abundance is 32634

Bases of 33408

Binary: 1000001010000000₂
Hexadecimal: 0x8280
Base-36: PS0

Squares and roots of 33408

33408 squared (33408²) is 1116094464
33408 cubed (33408³) is 37286483853312
The square root of 33408 is 182.7785545407
The cube root of 33408 is 32.2069915247

Scales and comparisons

How big is 33408?

33,408 seconds is equal to 9 hours, 16 minutes, 48 seconds.
To count from 1 to 33,408 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 33408 cubic inches would be around 2.7 feet tall.

Recreational maths with 33408

33408 backwards is 80433
33408 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 33408'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.

<a href="https://numbermatics.com/n/33408/?utm_source=shared">Number 33408 - 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/33408/?utm_source=shared]Number 33408 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 33408 - Facts about the integer". Numbermatics.com. 2024. Web. 20 April 2024.

APA style:
Numbermatics. (2024). Number 33408 - Facts about the integer. Retrieved 20 April 2024, from https://numbermatics.com/n/33408/

Chicago style:
Numbermatics. 2024. "Number 33408 - Facts about the integer". https://numbermatics.com/n/33408/

The information we have on file for 33408 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 33408, math, Factors of 33408, curriculum, school, college, exams, university, Prime factorization of 33408, STEM, science, technology, engineering, physics, economics, calculator, thirty-three thousand, four hundred eight.