334134432 has 144 divisors (see below), whose sum is σ = 1006544448. Its totient is φ = 104924160.

The previous prime is 334134401. The next prime is 334134469. The reversal of 334134432 is 234431433.

334134432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×334134432² = 223291637295925248, 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 = 334134396 and 334134405.

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, 483207 + ... + 483897.

It is an arithmetic number, because the mean of its divisors is an integer number (6989892).

Almost surely, 2^334134432 is an apocalyptic number.

334134432 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 334134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503272224).

334134432 is an abundant number, since it is smaller than the sum of its proper divisors (672410016).

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

334134432 is a wasteful number, since it uses less digits than its factorization.

334134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 792 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 334134432 is about 18279.3444083753. The cubic root of 334134432 is about 693.9162807653.

Adding to 334134432 its reverse (234431433), we get a palindrome (568565865).

It can be divided in two parts, 3341 and 34432, that added together give a palindrome (37773).

The spelling of 334134432 in words is "three hundred thirty-four million, one hundred thirty-four thousand, four hundred thirty-two".