38400

38,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 38400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

38400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 38400:

2⁹ × 3 × 5²

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 38400 from the Numbermatics database.

Names of 38400

Cardinal: 38400 can be written as Thirty-eight thousand, four hundred.

Scientific notation

Scientific notation: 3.84 × 10⁴

Factors of 38400

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 12
Sum of prime factors: 10

Divisors of 38400

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400
Sum of all divisors σ(n): 126852
Sum of proper divisors (its aliquot sum) s(n): 88452
38400 is an abundant number, because the sum of its proper divisors (88452) is greater than itself. Its abundance is 50052

Bases of 38400

Binary: 1001011000000000₂
Hexadecimal: 0x9600
Base-36: TMO

Squares and roots of 38400

38400 squared (38400²) is 1474560000
38400 cubed (38400³) is 56623104000000
The square root of 38400 is 195.9591794227
The cube root of 38400 is 33.7373066119

Scales and comparisons

How big is 38400?

38,400 seconds is equal to 10 hours, 40 minutes.
To count from 1 to 38,400 would take you about ten 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 38400 cubic inches would be around 2.8 feet tall.

Recreational maths with 38400

38400 backwards is 00483
38400 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 38400's digits is 15
More coming soon!

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The information we have on file for 38400 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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