334253952 has 160 divisors (see below), whose sum is σ = 1007600880. Its totient is φ = 109983744.

The previous prime is 334253923. The next prime is 334253957. The reversal of 334253952 is 259352433.

334253952 is a `hidden beast` number, since 33 + 42 + 539 + 52 = 666.

It is a super-2 number, since 2×334253952² = 223451408855236608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334253957) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1067748 + ... + 1068060.

Almost surely, 2^334253952 is an apocalyptic number.

334253952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503800440).

334253952 is an abundant number, since it is smaller than the sum of its proper divisors (673346928).

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

334253952 is a wasteful number, since it uses less digits than its factorization.

334253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 334253952 is about 18282.6133799301. The cubic root of 334253952 is about 693.9990089320. Note that the first 3 decimals are identical.

The spelling of 334253952 in words is "three hundred thirty-four million, two hundred fifty-three thousand, nine hundred fifty-two".