# 3420

## 3,420 is an even composite number composed of four prime numbers multiplied together.

What does the number 3420 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

3420 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 3420:

### 22 × 32 × 5 × 19

(2 × 2 × 3 × 3 × 5 × 19)

See below for interesting mathematical facts about the number 3420 from the Numbermatics database.

### Names of 3420

• Cardinal: 3420 can be written as Three thousand, four hundred twenty.

### Scientific notation

• Scientific notation: 3.42 × 103

### Factors of 3420

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 29

### Divisors of 3420

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 10920
• Sum of proper divisors (its aliquot sum) s(n): 7500
• 3420 is an abundant number, because the sum of its proper divisors (7500) is greater than itself. Its abundance is 4080

### Bases of 3420

• Binary: 1101010111002
• Base-36: 2N0

### Squares and roots of 3420

• 3420 squared (34202) is 11696400
• 3420 cubed (34203) is 40001688000
• The square root of 3420 is 58.4807660689
• The cube root of 3420 is 15.0663725459

### Scales and comparisons

How big is 3420?
• 3,420 seconds is equal to 57 minutes.
• To count from 1 to 3,420 would take you about fifty-seven 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 3420 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3420

• 3420 backwards is 0243
• 3420 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3420's digits is 9
• More coming soon!