12384

12,384 is an even composite number composed of three prime numbers multiplied together.

What does the number 12384 look like?

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

12384 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 12384:

2⁵ × 3² × 43

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 43)

See below for interesting mathematical facts about the number 12384 from the Numbermatics database.

Names of 12384

Cardinal: 12384 can be written as Twelve thousand, three hundred eighty-four.

Scientific notation

Scientific notation: 1.2384 × 10⁴

Factors of 12384

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 48

Divisors of 12384

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384
Sum of all divisors σ(n): 36036
Sum of proper divisors (its aliquot sum) s(n): 23652
12384 is an abundant number, because the sum of its proper divisors (23652) is greater than itself. Its abundance is 11268

Bases of 12384

Binary: 11000001100000₂
Hexadecimal: 0x3060
Base-36: 9K0

Squares and roots of 12384

12384 squared (12384²) is 153363456
12384 cubed (12384³) is 1899253039104
The square root of 12384 is 111.2834219459
The cube root of 12384 is 23.1359310387

Scales and comparisons

How big is 12384?

12,384 seconds is equal to 3 hours, 26 minutes, 24 seconds.
To count from 1 to 12,384 would take you about three 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 12384 cubic inches would be around 1.9 feet tall.

Recreational maths with 12384

12384 backwards is 48321
12384 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 12384's digits is 18
More coming soon!

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The information we have on file for 12384 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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