# 3366

## 3,366 is an even composite number composed of four prime numbers multiplied together.

What does the number 3366 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

3366 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3366:

### 2 × 32 × 11 × 17

(2 × 3 × 3 × 11 × 17)

See below for interesting mathematical facts about the number 3366 from the Numbermatics database.

### Names of 3366

• Cardinal: 3366 can be written as Three thousand, three hundred sixty-six.

### Scientific notation

• Scientific notation: 3.366 × 103

### Factors of 3366

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 33

### Divisors of 3366

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 8424
• Sum of proper divisors (its aliquot sum) s(n): 5058
• 3366 is an abundant number, because the sum of its proper divisors (5058) is greater than itself. Its abundance is 1692

### Bases of 3366

• Binary: 1101001001102
• Base-36: 2LI

### Squares and roots of 3366

• 3366 squared (33662) is 11329956
• 3366 cubed (33663) is 38136631896
• The square root of 3366 is 58.0172388175
• The cube root of 3366 is 14.9866547973

### Scales and comparisons

How big is 3366?
• 3,366 seconds is equal to 56 minutes, 6 seconds.
• To count from 1 to 3,366 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 3366 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3366

• 3366 backwards is 6633
• 3366 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3366's digits is 18
• More coming soon!