Is 3449 a prime number? What are the divisors of 3449?

Is 3449 a prime number?

Yes, 3449 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 3449, the only two divisors are 1 and 3449. Therefore 3449 is a prime number.

As a consequence, 3449 is only a multiple of 1 and 3449.

Since 3449 is a prime number, 3449 is also a deficient number, that is to say 3449 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3449 without 3449 itself (that is 1, by definition!).

Parity of 3449

3449 is an odd number, because it is not evenly divisible by 2.

Is 3449 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 3449 is about 58.728.

Thus, the square root of 3449 is not an integer, and therefore 3449 is not a square number.

Anyway, 3449 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 3449?

The square of a number (here 3449) is the result of the product of this number (3449) by itself (i.e., 3449 × 3449); the square of 3449 is sometimes called "raising 3449 to the power 2", or "3449 squared".

The square of 3449 is 11 895 601 because 3449 × 3449 = 34492 = 11 895 601.

As a consequence, 3449 is the square root of 11 895 601.

Number of digits of 3449

3449 is a number with 4 digits.

What are the multiples of 3449?

The multiples of 3449 are all integers evenly divisible by 3449, that is all numbers such that the remainder of the division by 3449 is zero. There are infinitely many multiples of 3449. The smallest multiples of 3449 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3449 too, since 0 × 3449 = 0
  • 3449: indeed, 3449 is a multiple of itself, since 3449 is evenly divisible by 3449 (we have 3449 / 3449 = 1, so the remainder of this division is indeed zero)
  • 6 898: indeed, 6 898 = 3449 × 2
  • 10 347: indeed, 10 347 = 3449 × 3
  • 13 796: indeed, 13 796 = 3449 × 4
  • 17 245: indeed, 17 245 = 3449 × 5
  • etc.

Numbers near 3449

Nearest numbers from 3449

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