348672

348,672 is an even composite number composed of three prime numbers multiplied together.

What does the number 348672 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

348672 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 348672:

2⁹ × 3 × 227

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 227)

See below for interesting mathematical facts about the number 348672 from the Numbermatics database.

Names of 348672

Cardinal: 348672 can be written as Three hundred forty-eight thousand, six hundred seventy-two.

Scientific notation

Scientific notation: 3.48672 × 10⁵

Factors of 348672

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 232

Divisors of 348672

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 512 681 768 908 1362 1536 1816 2724 3632 5448 7264 10896 14528 21792 29056 43584 58112 87168 116224 174336 348672
Sum of all divisors σ(n): 932976
Sum of proper divisors (its aliquot sum) s(n): 584304
348672 is an abundant number, because the sum of its proper divisors (584304) is greater than itself. Its abundance is 235632

Bases of 348672

Binary: 1010101001000000000₂
Hexadecimal: 0x55200
Base-36: 7H1C

Squares and roots of 348672

348672 squared (348672²) is 121572163584
348672 cubed (348672³) is 42388809421160448
The square root of 348672 is 590.4845467917
The cube root of 348672 is 70.3837428025

Scales and comparisons

How big is 348672?

348,672 seconds is equal to 4 days, 51 minutes, 12 seconds.
To count from 1 to 348,672 would take you about four days.

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 348672 cubic inches would be around 5.9 feet tall.

Recreational maths with 348672

348672 backwards is 276843
The number of decimal digits it has is: 6
The sum of 348672's digits is 30
More coming soon!

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The information we have on file for 348672 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!

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