334189152 has 144 divisors (see below), whose sum is σ = 1075419072. Its totient is φ = 101243520.

The previous prime is 334189147. The next prime is 334189187. The reversal of 334189152 is 251981433.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×334189152² = 223364778628958208, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83583 + ... + 87489.

It is an arithmetic number, because the mean of its divisors is an integer number (7468188).

Almost surely, 2^334189152 is an apocalyptic number.

334189152 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 334189152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537709536).

334189152 is an abundant number, since it is smaller than the sum of its proper divisors (741229920).

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

334189152 is a wasteful number, since it uses less digits than its factorization.

334189152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3923 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 334189152 is about 18280.8411185044. The cubic root of 334189152 is about 693.9541587595.

The spelling of 334189152 in words is "three hundred thirty-four million, one hundred eighty-nine thousand, one hundred fifty-two".