# 34830400

## 34,830,400 is an even composite number composed of four prime numbers multiplied together.

What does the number 34830400 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.

34830400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.

## Prime factorization of 34830400:

### 26 × 52 × 11 × 1979

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 1979)

See below for interesting mathematical facts about the number 34830400 from the Numbermatics database.

### Names of 34830400

• Cardinal: 34830400 can be written as Thirty-four million, eight hundred thirty thousand, four hundred.

### Scientific notation

• Scientific notation: 3.48304 × 107

### Factors of 34830400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1997

### Divisors of 34830400

• Number of divisors d(n): 84
• Complete list of divisors:
• Sum of all divisors σ(n): 93543120
• Sum of proper divisors (its aliquot sum) s(n): 58712720
• 34830400 is an abundant number, because the sum of its proper divisors (58712720) is greater than itself. Its abundance is 23882320

### Bases of 34830400

• Binary: 100001001101111000010000002
• Base-36: KQJB4

### Squares and roots of 34830400

• 34830400 squared (348304002) is 1213156764160000
• 34830400 cubed (348304003) is 42254735358398464000000
• The square root of 34830400 is 5901.7285603457
• The cube root of 34830400 is 326.5774202031

### Scales and comparisons

How big is 34830400?
• 34,830,400 seconds is equal to 5 weeks, 4 days, 3 hours, 6 minutes, 40 seconds.
• To count from 1 to 34,830,400 would take you about thirty-four weeks!

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 34830400 cubic inches would be around 27.2 feet tall.

### Recreational maths with 34830400

• 34830400 backwards is 00403843
• 34830400 is a Harshad number.
• The number of decimal digits it has is: 8
• The sum of 34830400's digits is 22
• More coming soon!