2946304 has 36 divisors (see below), whose sum is σ = 6236244. Its totient is φ = 1384448.

The previous prime is 2946299. The next prime is 2946319. The reversal of 2946304 is 4036492.

2946304 = T₁₄₀₀ + T₁₄₀₁ + T₁₄₀₂.

It can be written as a sum of positive squares in 2 ways, for example, as 2715904 + 230400 = 1648^2 + 480^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4014 + ... + 4690.

It is an arithmetic number, because the mean of its divisors is an integer number (173229).

2^2946304 is an apocalyptic number.

2946304 is the 1402-nd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118122).

2946304 is an abundant number, since it is smaller than the sum of its proper divisors (3289940).

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

2946304 is an equidigital number, since it uses as much as digits as its factorization.

2946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2946304 is about 1716.4801193139. The cubic root of 2946304 is about 143.3592934170.

The spelling of 2946304 in words is "two million, nine hundred forty-six thousand, three hundred four".