29934944 has 48 divisors (see below), whose sum is σ = 63948528. Its totient is φ = 13711872.

The previous prime is 29934929. The next prime is 29934967. The reversal of 29934944 is 44943992.

It is a super-2 number, since 2×29934944² = 1792201744566272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29934895 and 29934904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94274 + ... + 94590.

It is an arithmetic number, because the mean of its divisors is an integer number (1332261).

Almost surely, 2^29934944 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 29934944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31974264).

29934944 is an abundant number, since it is smaller than the sum of its proper divisors (34013584).

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

29934944 is a wasteful number, since it uses less digits than its factorization.

29934944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

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

The square root of 29934944 is about 5471.2835788323. The cubic root of 29934944 is about 310.4984834699.

The spelling of 29934944 in words is "twenty-nine million, nine hundred thirty-four thousand, nine hundred forty-four".