334314040 has 64 divisors (see below), whose sum is σ = 769577760. Its totient is φ = 130675200.

The previous prime is 334314037. The next prime is 334314047. The reversal of 334314040 is 40413433.

It is a super-2 number, since 2×334314040² = 223531754682243200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334314047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334822 + ... + 335818.

Almost surely, 2^334314040 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 334314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384788880).

334314040 is an abundant number, since it is smaller than the sum of its proper divisors (435263720).

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

334314040 is a wasteful number, since it uses less digits than its factorization.

334314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 334314040 is about 18284.2566160071. The cubic root of 334314040 is about 694.0405925978.

Adding to 334314040 its reverse (40413433), we get a palindrome (374727473).

The spelling of 334314040 in words is "three hundred thirty-four million, three hundred fourteen thousand, forty".