438400

438,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 438400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

438400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 438400:

2⁷ × 5² × 137

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 137)

See below for interesting mathematical facts about the number 438400 from the Numbermatics database.

Names of 438400

Cardinal: 438400 can be written as Four hundred thirty-eight thousand, four hundred.

Scientific notation

Scientific notation: 4.384 × 10⁵

Factors of 438400

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 144

Divisors of 438400

Number of divisors d(n): 48
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 137 160 200 274 320 400 548 640 685 800 1096 1370 1600 2192 2740 3200 3425 4384 5480 6850 8768 10960 13700 17536 21920 27400 43840 54800 87680 109600 219200 438400
Sum of all divisors σ(n): 1090890
Sum of proper divisors (its aliquot sum) s(n): 652490
438400 is an abundant number, because the sum of its proper divisors (652490) is greater than itself. Its abundance is 214090

Bases of 438400

Binary: 1101011000010000000₂
Hexadecimal: 0x6B080
Base-36: 9E9S

Squares and roots of 438400

438400 squared (438400²) is 192194560000
438400 cubed (438400³) is 84258095104000000
The square root of 438400 is 662.1178142899
The cube root of 438400 is 75.9667444531

Scales and comparisons

How big is 438400?

438,400 seconds is equal to 5 days, 1 hour, 46 minutes, 40 seconds.
To count from 1 to 438,400 would take you about five 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 438400 cubic inches would be around 6.3 feet tall.

Recreational maths with 438400

438400 backwards is 004834
The number of decimal digits it has is: 6
The sum of 438400's digits is 19
More coming soon!

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The information we have on file for 438400 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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