378

378 is an even composite number composed of three prime numbers multiplied together.

What does the number 378 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

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

Prime factorization of 378:

2 × 3³ × 7

(2 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 378 from the Numbermatics database.

Names of 378

Cardinal: 378 can be written as Three hundred seventy-eight.

Scientific notation

Scientific notation: 3.78 × 10²

Factors of 378

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 12

Divisors of 378

Number of divisors d(n): 16
Complete list of divisors:
1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378
Sum of all divisors σ(n): 960
Sum of proper divisors (its aliquot sum) s(n): 582
378 is an abundant number, because the sum of its proper divisors (582) is greater than itself. Its abundance is 204

Bases of 378

Binary: 101111010₂
Hexadecimal: 0x17A
Base-36: AI

Squares and roots of 378

378 squared (378²) is 142884
378 cubed (378³) is 54010152
The square root of 378 is 19.4422220953
The cube root of 378 is 7.2304267925

Scales and comparisons

How big is 378?

378 seconds is equal to 6 minutes, 18 seconds.
To count from 1 to 378 would take you about three minutes.

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 378 cubic inches would be around 0.6 feet tall.

Recreational maths with 378

378 backwards is 873
378 is a Harshad number.
The number of decimal digits it has is: 3
The sum of 378's digits is 18
More coming soon!

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The information we have on file for 378 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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