34048

34,048 is an even composite number composed of three prime numbers multiplied together.

What does the number 34048 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

34048 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 34048:

2⁸ × 7 × 19

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 19)

See below for interesting mathematical facts about the number 34048 from the Numbermatics database.

Names of 34048

Cardinal: 34048 can be written as Thirty-four thousand and forty-eight.

Scientific notation

Scientific notation: 3.4048 × 10⁴

Factors of 34048

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 28

Divisors of 34048

Number of divisors d(n): 36
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 2128 2432 4256 4864 8512 17024 34048
Sum of all divisors σ(n): 81760
Sum of proper divisors (its aliquot sum) s(n): 47712
34048 is an abundant number, because the sum of its proper divisors (47712) is greater than itself. Its abundance is 13664

Bases of 34048

Binary: 1000010100000000₂
Hexadecimal: 0x8500
Base-36: Q9S

Squares and roots of 34048

34048 squared (34048²) is 1159266304
34048 cubed (34048³) is 39470699118592
The square root of 34048 is 184.5210015147
The cube root of 34048 is 32.4113560761

Scales and comparisons

How big is 34048?

34,048 seconds is equal to 9 hours, 27 minutes, 28 seconds.
To count from 1 to 34,048 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 34048 cubic inches would be around 2.7 feet tall.

Recreational maths with 34048

34048 backwards is 84043
34048 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 34048's digits is 19
More coming soon!

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/34048/">Number 34048 - 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/34048/]Number 34048 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 34048 - Facts about the integer". Numbermatics.com. 2023. Web. 29 March 2023.

APA style:
Numbermatics. (2023). Number 34048 - Facts about the integer. Retrieved 29 March 2023, from https://numbermatics.com/n/34048/

Chicago style:
Numbermatics. 2023. "Number 34048 - Facts about the integer". https://numbermatics.com/n/34048/

The information we have on file for 34048 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 34048, math, Factors of 34048, curriculum, school, college, exams, university, Prime factorization of 34048, STEM, science, technology, engineering, physics, economics, calculator, thirty-four thousand and forty-eight.