# 3288

## 3,288 is an even composite number composed of three prime numbers multiplied together.

What does the number 3288 look like?

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

3288 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 3288:

### 23 × 3 × 137

(2 × 2 × 2 × 3 × 137)

See below for interesting mathematical facts about the number 3288 from the Numbermatics database.

### Names of 3288

• Cardinal: 3288 can be written as Three thousand, two hundred eighty-eight.

### Scientific notation

• Scientific notation: 3.288 × 103

### Factors of 3288

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 142

### Divisors of 3288

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 8280
• Sum of proper divisors (its aliquot sum) s(n): 4992
• 3288 is an abundant number, because the sum of its proper divisors (4992) is greater than itself. Its abundance is 1704

### Bases of 3288

• Binary: 1100110110002
• Base-36: 2JC

### Squares and roots of 3288

• 3288 squared (32882) is 10810944
• 3288 cubed (32883) is 35546383872
• The square root of 3288 is 57.3410847473
• The cube root of 3288 is 14.8699874833

### Scales and comparisons

How big is 3288?
• 3,288 seconds is equal to 54 minutes, 48 seconds.
• To count from 1 to 3,288 would take you about fifty-four 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 3288 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3288

• 3288 backwards is 8823
• The number of decimal digits it has is: 4
• The sum of 3288's digits is 21
• More coming soon!