3444

3,444 is an even composite number composed of four prime numbers multiplied together.

What does the number 3444 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

3444 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 3444:

22 × 3 × 7 × 41

(2 × 2 × 3 × 7 × 41)

See below for interesting mathematical facts about the number 3444 from the Numbermatics database.

Names of 3444

• Cardinal: 3444 can be written as Three thousand, four hundred forty-four.

Scientific notation

• Scientific notation: 3.444 × 103

Factors of 3444

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 53

Divisors of 3444

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 9408
• Sum of proper divisors (its aliquot sum) s(n): 5964
• 3444 is an abundant number, because the sum of its proper divisors (5964) is greater than itself. Its abundance is 2520

Bases of 3444

• Binary: 1101011101002
• Base-36: 2NO

Squares and roots of 3444

• 3444 squared (34442) is 11861136
• 3444 cubed (34443) is 40849752384
• The square root of 3444 is 58.6856030045
• The cube root of 3444 is 15.1015334027

Scales and comparisons

How big is 3444?
• 3,444 seconds is equal to 57 minutes, 24 seconds.
• To count from 1 to 3,444 would take you about fifty-seven 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 3444 cubic inches would be around 1.3 feet tall.

Recreational maths with 3444

• 3444 backwards is 4443
• The number of decimal digits it has is: 4
• The sum of 3444's digits is 15
• More coming soon!

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