16384

16,384 is an even composite number. It is composed of a single prime number multiplied by itself thirteen times.

What does the number 16384 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 15 divisors.

16384 is an even composite number. It is composed of one distinct prime number multiplied by itself thirteen times. It has a total of fifteen divisors.

Prime factorization of 16384:

214

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 16384 from the Numbermatics database.

Names of 16384

• Cardinal: 16384 can be written as Sixteen thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 1.6384 × 104

Factors of 16384

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2

Divisors of 16384

• Number of divisors d(n): 15
• Complete list of divisors:
• Sum of all divisors σ(n): 32767
• Sum of proper divisors (its aliquot sum) s(n): 16383
• 16384 is a deficient number, because the sum of its proper divisors (16383) is less than itself. Its deficiency is 1

Bases of 16384

• Binary: 1000000000000002
• Base-36: CN4

Squares and roots of 16384

• 16384 squared (163842) is 268435456
• 16384 cubed (163843) is 4398046511104
• 16384 is a perfect square number. Its square root is 128
• The cube root of 16384 is 25.3984168315

Scales and comparisons

How big is 16384?
• 16,384 seconds is equal to 4 hours, 33 minutes, 4 seconds.
• To count from 1 to 16,384 would take you about four 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 16384 cubic inches would be around 2.1 feet tall.

Recreational maths with 16384

• 16384 backwards is 48361
• The number of decimal digits it has is: 5
• The sum of 16384's digits is 22
• More coming soon!

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