334147632 has 160 divisors (see below), whose sum is σ = 1070264832. Its totient is φ = 87478272.

The previous prime is 334147613. The next prime is 334147633. The reversal of 334147632 is 236741433.

334147632 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 2×334147632² = 223309279942414848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 334147593 and 334147602.

It is not an unprimeable number, because it can be changed into a prime (334147633) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 991368 + ... + 991704.

Almost surely, 2^334147632 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 334147632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535132416).

334147632 is an abundant number, since it is smaller than the sum of its proper divisors (736117200).

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

334147632 is a wasteful number, since it uses less digits than its factorization.

334147632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 334147632 is about 18279.7054680867. The cubic root of 334147632 is about 693.9254183792.

The spelling of 334147632 in words is "three hundred thirty-four million, one hundred forty-seven thousand, six hundred thirty-two".