# 3328

## 3,328 is an even composite number composed of two prime numbers multiplied together.

What does the number 3328 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

3328 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 3328:

### 28 × 13

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13)

See below for interesting mathematical facts about the number 3328 from the Numbermatics database.

### Names of 3328

• Cardinal: 3328 can be written as Three thousand, three hundred twenty-eight.

### Scientific notation

• Scientific notation: 3.328 × 103

### Factors of 3328

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 15

### Divisors of 3328

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 7154
• Sum of proper divisors (its aliquot sum) s(n): 3826
• 3328 is an abundant number, because the sum of its proper divisors (3826) is greater than itself. Its abundance is 498

### Bases of 3328

• Binary: 1101000000002
• Base-36: 2KG

### Squares and roots of 3328

• 3328 squared (33282) is 11075584
• 3328 cubed (33283) is 36859543552
• The square root of 3328 is 57.6888204075
• The cube root of 3328 is 14.9300446273

### Scales and comparisons

How big is 3328?
• 3,328 seconds is equal to 55 minutes, 28 seconds.
• To count from 1 to 3,328 would take you about fifty-five 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 3328 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3328

• 3328 backwards is 8233
• 3328 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3328's digits is 16
• More coming soon!