# 1408

## 1,408 is an even composite number composed of two prime numbers multiplied together.

What does the number 1408 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 16 divisors.

1408 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 1408:

### 27 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11)

See below for interesting mathematical facts about the number 1408 from the Numbermatics database.

### Names of 1408

• Cardinal: 1408 can be written as One thousand, four hundred eight.

### Scientific notation

• Scientific notation: 1.408 × 103

### Factors of 1408

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 13

### Divisors of 1408

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 3060
• Sum of proper divisors (its aliquot sum) s(n): 1652
• 1408 is an abundant number, because the sum of its proper divisors (1652) is greater than itself. Its abundance is 244

### Bases of 1408

• Binary: 101100000002
• Base-36: 134

### Squares and roots of 1408

• 1408 squared (14082) is 1982464
• 1408 cubed (14083) is 2791309312
• The square root of 1408 is 37.5233260787
• The cube root of 1408 is 11.2081573227

### Scales and comparisons

How big is 1408?
• 1,408 seconds is equal to 23 minutes, 28 seconds.
• To count from 1 to 1,408 would take you about twenty-three 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 1408 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1408

• 1408 backwards is 8041
• The number of decimal digits it has is: 4
• The sum of 1408's digits is 13
• More coming soon!