29334968 has 32 divisors (see below), whose sum is σ = 59727360. Its totient is φ = 13426560.

The previous prime is 29334953. The next prime is 29334973. The reversal of 29334968 is 86943392.

It is a super-2 number, since 2×29334968² = 1721080695122048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12098 + ... + 14318.

It is an arithmetic number, because the mean of its divisors is an integer number (1866480).

Almost surely, 2^29334968 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 29334968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29863680).

29334968 is an abundant number, since it is smaller than the sum of its proper divisors (30392392).

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

29334968 is a wasteful number, since it uses less digits than its factorization.

29334968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2363 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 29334968 is about 5416.1765111562. The cubic root of 29334968 is about 308.4100626832.

The spelling of 29334968 in words is "twenty-nine million, three hundred thirty-four thousand, nine hundred sixty-eight".