334042400 has 36 divisors (see below), whose sum is σ = 815482962. Its totient is φ = 133616640.

The previous prime is 334042399. The next prime is 334042441. The reversal of 334042400 is 4240433.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 272514064 + 61528336 = 16508^2 + 7844^2 .

It is a super-2 number, since 2×334042400² = 223168649995520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207977 + ... + 209576.

Almost surely, 2^334042400 is an apocalyptic number.

It is an amenable number.

334042400 is an abundant number, since it is smaller than the sum of its proper divisors (481440562).

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

334042400 is a wasteful number, since it uses less digits than its factorization.

334042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417573 (or 417560 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 334042400 is about 18276.8268580736. The cubic root of 334042400 is about 693.8525655245.

Adding to 334042400 its reverse (4240433), we get a palindrome (338282833).

The spelling of 334042400 in words is "three hundred thirty-four million, forty-two thousand, four hundred".