334152864 has 120 divisors (see below), whose sum is σ = 990959508. Its totient is φ = 110453760.

The previous prime is 334152851. The next prime is 334152881. The reversal of 334152864 is 468251433.

334152864 is a `hidden beast` number, since 33 + 41 + 528 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 330512400 + 3640464 = 18180^2 + 1908^2 .

It is a super-2 number, since 2×334152864² = 223316273038804992, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354634 + ... + 355574.

Almost surely, 2^334152864 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 334152864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495479754).

334152864 is an abundant number, since it is smaller than the sum of its proper divisors (656806644).

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

334152864 is a wasteful number, since it uses less digits than its factorization.

334152864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1083 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 334152864 is about 18279.8485770534. The cubic root of 334152864 is about 693.9290401305.

The spelling of 334152864 in words is "three hundred thirty-four million, one hundred fifty-two thousand, eight hundred sixty-four".