334133052 has 96 divisors (see below), whose sum is σ = 894426624. Its totient is φ = 96096000.

The previous prime is 334133039. The next prime is 334133053. The reversal of 334133052 is 250331433.

It is a happy number.

334133052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×334133052² = 223289792877669408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334133053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476302 + ... + 477002.

It is an arithmetic number, because the mean of its divisors is an integer number (9316944).

Almost surely, 2^334133052 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 334133052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447213312).

334133052 is an abundant number, since it is smaller than the sum of its proper divisors (560293572).

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

334133052 is a wasteful number, since it uses less digits than its factorization.

334133052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 334133052 is about 18279.3066608118. The cubic root of 334133052 is about 693.9153254554.

Adding to 334133052 its reverse (250331433), we get a palindrome (584464485).

It can be divided in two parts, 334 and 133052, that added together give a triangular number (133386 = T₅₁₆).

The spelling of 334133052 in words is "three hundred thirty-four million, one hundred thirty-three thousand, fifty-two".