# 98304

## 98,304 is an even composite number composed of two prime numbers multiplied together.

What does the number 98304 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 32 divisors.

98304 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 98304:

### 215 × 3

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

See below for interesting mathematical facts about the number 98304 from the Numbermatics database.

### Names of 98304

• Cardinal: 98304 can be written as Ninety-eight thousand, three hundred four.

### Scientific notation

• Scientific notation: 9.8304 × 104

### Factors of 98304

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 5

### Divisors of 98304

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 262140
• Sum of proper divisors (its aliquot sum) s(n): 163836
• 98304 is an abundant number, because the sum of its proper divisors (163836) is greater than itself. Its abundance is 65532

### Bases of 98304

• Binary: 110000000000000002
• Base-36: 23UO

### Squares and roots of 98304

• 98304 squared (983042) is 9663676416
• 98304 cubed (983043) is 949978046398464
• The square root of 98304 is 313.5346870763
• The cube root of 98304 is 46.1519862499

### Scales and comparisons

How big is 98304?
• 98,304 seconds is equal to 1 day, 3 hours, 18 minutes, 24 seconds.
• To count from 1 to 98,304 would take you about three 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 98304 cubic inches would be around 3.8 feet tall.

### Recreational maths with 98304

• 98304 backwards is 40389
• 98304 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 98304's digits is 24
• More coming soon!