# 3384

## 3,384 is an even composite number composed of three prime numbers multiplied together.

What does the number 3384 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

3384 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3384:

### 23 × 32 × 47

(2 × 2 × 2 × 3 × 3 × 47)

See below for interesting mathematical facts about the number 3384 from the Numbermatics database.

### Names of 3384

• Cardinal: 3384 can be written as Three thousand, three hundred eighty-four.

### Scientific notation

• Scientific notation: 3.384 × 103

### Factors of 3384

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 52

### Divisors of 3384

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 9360
• Sum of proper divisors (its aliquot sum) s(n): 5976
• 3384 is an abundant number, because the sum of its proper divisors (5976) is greater than itself. Its abundance is 2592

### Bases of 3384

• Binary: 1101001110002
• Base-36: 2M0

### Squares and roots of 3384

• 3384 squared (33842) is 11451456
• 3384 cubed (33843) is 38751727104
• The square root of 3384 is 58.1721582889
• The cube root of 3384 is 15.0133214991

### Scales and comparisons

How big is 3384?
• 3,384 seconds is equal to 56 minutes, 24 seconds.
• To count from 1 to 3,384 would take you about fifty-six 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 3384 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3384

• 3384 backwards is 4833
• 3384 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3384's digits is 18
• More coming soon!