349824

349,824 is an even composite number composed of three prime numbers multiplied together.

What does the number 349824 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

349824 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 349824:

2⁷ × 3 × 911

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 911)

See below for interesting mathematical facts about the number 349824 from the Numbermatics database.

Names of 349824

Cardinal: 349824 can be written as Three hundred forty-nine thousand, eight hundred twenty-four.

Scientific notation

Scientific notation: 3.49824 × 10⁵

Factors of 349824

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 916

Divisors of 349824

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 911 1822 2733 3644 5466 7288 10932 14576 21864 29152 43728 58304 87456 116608 174912 349824
Sum of all divisors σ(n): 930240
Sum of proper divisors (its aliquot sum) s(n): 580416
349824 is an abundant number, because the sum of its proper divisors (580416) is greater than itself. Its abundance is 230592

Bases of 349824

Binary: 1010101011010000000₂
Hexadecimal: 0x55680
Base-36: 7HXC

Squares and roots of 349824

349824 squared (349824²) is 122376830976
349824 cubed (349824³) is 42810352519348224
The square root of 349824 is 591.4592124567
The cube root of 349824 is 70.4611727251

Scales and comparisons

How big is 349824?

349,824 seconds is equal to 4 days, 1 hour, 10 minutes, 24 seconds.
To count from 1 to 349,824 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 349824 cubic inches would be around 5.9 feet tall.

Recreational maths with 349824

349824 backwards is 428943
The number of decimal digits it has is: 6
The sum of 349824's digits is 30
More coming soon!

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The information we have on file for 349824 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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