29934048 has 48 divisors (see below), whose sum is σ = 79591680. Its totient is φ = 9849216.

The previous prime is 29934043. The next prime is 29934049. The reversal of 29934048 is 84043992.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 29933997 and 29934015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29934041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5611 + ... + 9557.

It is an arithmetic number, because the mean of its divisors is an integer number (1658160).

Almost surely, 2^29934048 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 29934048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39795840).

29934048 is an abundant number, since it is smaller than the sum of its proper divisors (49657632).

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

29934048 is a wasteful number, since it uses less digits than its factorization.

29934048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 29934048 is about 5471.2016961541. The cubic root of 29934048 is about 310.4953855362.

The spelling of 29934048 in words is "twenty-nine million, nine hundred thirty-four thousand, forty-eight".