20304

20,304 is an even composite number composed of three prime numbers multiplied together.

What does the number 20304 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

20304 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 20304:

24 × 33 × 47

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 47)

See below for interesting mathematical facts about the number 20304 from the Numbermatics database.

Names of 20304

• Cardinal: 20304 can be written as Twenty thousand, three hundred four.

Scientific notation

• Scientific notation: 2.0304 × 104

Factors of 20304

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 52

Divisors of 20304

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 59520
• Sum of proper divisors (its aliquot sum) s(n): 39216
• 20304 is an abundant number, because the sum of its proper divisors (39216) is greater than itself. Its abundance is 18912

Bases of 20304

• Binary: 1001111010100002
• Base-36: FO0

Squares and roots of 20304

• 20304 squared (203042) is 412252416
• 20304 cubed (203043) is 8370373054464
• The square root of 20304 is 142.4921050447
• The cube root of 20304 is 27.2810156627

Scales and comparisons

How big is 20304?
• 20,304 seconds is equal to 5 hours, 38 minutes, 24 seconds.
• To count from 1 to 20,304 would take you about five 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 20304 cubic inches would be around 2.3 feet tall.

Recreational maths with 20304

• 20304 backwards is 40302
• 20304 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 20304's digits is 9
• More coming soon!