29845314 has 48 divisors (see below), whose sum is σ = 70043040. Its totient is φ = 9418680.

The previous prime is 29845297. The next prime is 29845357. The reversal of 29845314 is 41354892.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18729 + ... + 20259.

It is an arithmetic number, because the mean of its divisors is an integer number (1459230).

Almost surely, 2^29845314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29845314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35021520).

29845314 is an abundant number, since it is smaller than the sum of its proper divisors (40197726).

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

29845314 is a wasteful number, since it uses less digits than its factorization.

29845314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1555 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 29845314 is about 5463.0864902544. The cubic root of 29845314 is about 310.1882796585.

The spelling of 29845314 in words is "twenty-nine million, eight hundred forty-five thousand, three hundred fourteen".