3314304 has 128 divisors (see below), whose sum is σ = 11260800. Its totient is φ = 940032.

The previous prime is 3314281. The next prime is 3314309. The reversal of 3314304 is 4034133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3314304² = 21969222008832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3314309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24124 + ... + 24260.

It is an arithmetic number, because the mean of its divisors is an integer number (87975).

Almost surely, 2^3314304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630400).

3314304 is an abundant number, since it is smaller than the sum of its proper divisors (7946496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3314304 is a wasteful number, since it uses less digits than its factorization.

3314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3314304 is about 1820.5230017772. The cubic root of 3314304 is about 149.0953550853.

Adding to 3314304 its reverse (4034133), we get a palindrome (7348437).

The spelling of 3314304 in words is "three million, three hundred fourteen thousand, three hundred four".