# 314880

## 314,880 is an even composite number composed of four prime numbers multiplied together.

What does the number 314880 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 80 divisors.

314880 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty divisors.

## Prime factorization of 314880:

### 29 × 3 × 5 × 41

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 41)

See below for interesting mathematical facts about the number 314880 from the Numbermatics database.

### Names of 314880

• Cardinal: 314880 can be written as Three hundred fourteen thousand, eight hundred eighty.

### Scientific notation

• Scientific notation: 3.1488 × 105

### Factors of 314880

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 51

### Divisors of 314880

• Number of divisors d(n): 80
• Complete list of divisors:
• Sum of all divisors σ(n): 1031184
• Sum of proper divisors (its aliquot sum) s(n): 716304
• 314880 is an abundant number, because the sum of its proper divisors (716304) is greater than itself. Its abundance is 401424

### Bases of 314880

• Binary: 10011001110000000002
• Base-36: 6QYO

### Squares and roots of 314880

• 314880 squared (3148802) is 99149414400
• 314880 cubed (3148803) is 31220167606272000
• The square root of 314880 is 561.1416933361
• The cube root of 314880 is 68.0322799451

### Scales and comparisons

How big is 314880?
• 314,880 seconds is equal to 3 days, 15 hours, 28 minutes.
• To count from 1 to 314,880 would take you about three days.

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 314880 cubic inches would be around 5.7 feet tall.

### Recreational maths with 314880

• 314880 backwards is 088413
• 314880 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 314880's digits is 24
• More coming soon!