# 3388

## 3,388 is an even composite number composed of three prime numbers multiplied together.

What does the number 3388 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

3388 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 3388:

### 22 × 7 × 112

(2 × 2 × 7 × 11 × 11)

See below for interesting mathematical facts about the number 3388 from the Numbermatics database.

### Names of 3388

• Cardinal: 3388 can be written as Three thousand, three hundred eighty-eight.

### Scientific notation

• Scientific notation: 3.388 × 103

### Factors of 3388

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 20

### Divisors of 3388

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 7448
• Sum of proper divisors (its aliquot sum) s(n): 4060
• 3388 is an abundant number, because the sum of its proper divisors (4060) is greater than itself. Its abundance is 672

### Bases of 3388

• Binary: 1101001111002
• Base-36: 2M4

### Squares and roots of 3388

• 3388 squared (33882) is 11478544
• 3388 cubed (33883) is 38889307072
• The square root of 3388 is 58.2065288435
• The cube root of 3388 is 15.0192345841

### Scales and comparisons

How big is 3388?
• 3,388 seconds is equal to 56 minutes, 28 seconds.
• To count from 1 to 3,388 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 3388 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3388

• 3388 backwards is 8833
• 3388 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3388's digits is 22
• More coming soon!