390144

390,144 is an even composite number composed of three prime numbers multiplied together.

What does the number 390144 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 44 divisors.

390144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-four divisors.

Prime factorization of 390144:

2¹⁰ × 3 × 127

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 127)

See below for interesting mathematical facts about the number 390144 from the Numbermatics database.

Names of 390144

Cardinal: 390144 can be written as Three hundred ninety thousand, one hundred forty-four.

Scientific notation

Scientific notation: 3.90144 × 10⁵

Factors of 390144

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 12
Sum of prime factors: 132

Divisors of 390144

Number of divisors d(n): 44
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 2032 3048 3072 4064 6096 8128 12192 16256 24384 32512 48768 65024 97536 130048 195072 390144
Sum of all divisors σ(n): 1048064
Sum of proper divisors (its aliquot sum) s(n): 657920
390144 is an abundant number, because the sum of its proper divisors (657920) is greater than itself. Its abundance is 267776

Bases of 390144

Binary: 1011111010000000000₂
Hexadecimal: 0x5F400
Base-36: 8D1C

Squares and roots of 390144

390144 squared (390144²) is 152212340736
390144 cubed (390144³) is 59384731464105984
The square root of 390144 is 624.6150814703
The cube root of 390144 is 73.0704268109

Scales and comparisons

How big is 390144?

390,144 seconds is equal to 4 days, 12 hours, 22 minutes, 24 seconds.
To count from 1 to 390,144 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 390144 cubic inches would be around 6.1 feet tall.

Recreational maths with 390144

390144 backwards is 441093
The number of decimal digits it has is: 6
The sum of 390144's digits is 21
More coming soon!

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The information we have on file for 390144 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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