29430018 has 48 divisors (see below), whose sum is σ = 67594176. Its totient is φ = 9234720.

The previous prime is 29429989. The next prime is 29430061. The reversal of 29430018 is 81003492.

It is a super-3 number, since 3×29430018³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29429973 and 29430000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27208 + ... + 28268.

It is an arithmetic number, because the mean of its divisors is an integer number (1408212).

Almost surely, 2^29430018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29430018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33797088).

29430018 is an abundant number, since it is smaller than the sum of its proper divisors (38164158).

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

29430018 is a wasteful number, since it uses less digits than its factorization.

29430018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 29430018 is about 5424.9440550111. The cubic root of 29430018 is about 308.7428029159.

The spelling of 29430018 in words is "twenty-nine million, four hundred thirty thousand, eighteen".