30688

30,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 30688 look like?

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

30688 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 30688:

2⁵ × 7 × 137

(2 × 2 × 2 × 2 × 2 × 7 × 137)

See below for interesting mathematical facts about the number 30688 from the Numbermatics database.

Names of 30688

Cardinal: 30688 can be written as Thirty thousand, six hundred eighty-eight.

Scientific notation

Scientific notation: 3.0688 × 10⁴

Factors of 30688

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 146

Divisors of 30688

Number of divisors d(n): 24
Complete list of divisors:
1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 3836 4384 7672 15344 30688
Sum of all divisors σ(n): 69552
Sum of proper divisors (its aliquot sum) s(n): 38864
30688 is an abundant number, because the sum of its proper divisors (38864) is greater than itself. Its abundance is 8176

Bases of 30688

Binary: 111011111100000₂
Hexadecimal: 0x77E0
Base-36: NOG

Squares and roots of 30688

30688 squared (30688²) is 941753344
30688 cubed (30688³) is 28900526620672
The square root of 30688 is 175.1799075237
The cube root of 30688 is 31.3080627189

Scales and comparisons

How big is 30688?

30,688 seconds is equal to 8 hours, 31 minutes, 28 seconds.
To count from 1 to 30,688 would take you about eight hours.

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 30688 cubic inches would be around 2.6 feet tall.

Recreational maths with 30688

30688 backwards is 88603
The number of decimal digits it has is: 5
The sum of 30688's digits is 25
More coming soon!

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The information we have on file for 30688 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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