# 3402

## 3,402 is an even composite number composed of three prime numbers multiplied together.

What does the number 3402 look like?

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

3402 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 3402:

### 2 × 35 × 7

(2 × 3 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 3402 from the Numbermatics database.

### Names of 3402

• Cardinal: 3402 can be written as Three thousand, four hundred two.

### Scientific notation

• Scientific notation: 3.402 × 103

### Factors of 3402

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 12

### Divisors of 3402

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 8736
• Sum of proper divisors (its aliquot sum) s(n): 5334
• 3402 is an abundant number, because the sum of its proper divisors (5334) is greater than itself. Its abundance is 1932

### Bases of 3402

• Binary: 1101010010102
• Base-36: 2MI

### Squares and roots of 3402

• 3402 squared (34022) is 11573604
• 3402 cubed (34023) is 39373400808
• The square root of 3402 is 58.3266662857
• The cube root of 3402 is 15.0398938049

### Scales and comparisons

How big is 3402?
• 3,402 seconds is equal to 56 minutes, 42 seconds.
• To count from 1 to 3,402 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 3402 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3402

• 3402 backwards is 2043
• 3402 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3402's digits is 9
• More coming soon!