384768

384,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 384768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

384768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 384768:

2⁸ × 3² × 167

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 167)

See below for interesting mathematical facts about the number 384768 from the Numbermatics database.

Names of 384768

Cardinal: 384768 can be written as Three hundred eighty-four thousand, seven hundred sixty-eight.

Scientific notation

Scientific notation: 3.84768 × 10⁵

Factors of 384768

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 172

Divisors of 384768

Number of divisors d(n): 54
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 576 668 768 1002 1152 1336 1503 2004 2304 2672 3006 4008 5344 6012 8016 10688 12024 16032 21376 24048 32064 42752 48096 64128 96192 128256 192384 384768
Sum of all divisors σ(n): 1116024
Sum of proper divisors (its aliquot sum) s(n): 731256
384768 is an abundant number, because the sum of its proper divisors (731256) is greater than itself. Its abundance is 346488

Bases of 384768

Binary: 1011101111100000000₂
Hexadecimal: 0x5DF00
Base-36: 88W0

Squares and roots of 384768

384768 squared (384768²) is 148046413824
384768 cubed (384768³) is 56963522554232832
The square root of 384768 is 620.2967031993
The cube root of 384768 is 72.7332479939

Scales and comparisons

How big is 384768?

384,768 seconds is equal to 4 days, 10 hours, 52 minutes, 48 seconds.
To count from 1 to 384,768 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 384768 cubic inches would be around 6.1 feet tall.

Recreational maths with 384768

384768 backwards is 867483
384768 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 384768's digits is 36
More coming soon!

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The information we have on file for 384768 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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