29434944 has 168 divisors, whose sum is σ = 98373184. Its totient is φ = 7603200.

The previous prime is 29434927. The next prime is 29434949. The reversal of 29434944 is 44943492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (29434949) by changing a digit.

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, 162534 + ... + 162714.

Almost surely, 2^29434944 is an apocalyptic number.

29434944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49186592).

29434944 is an abundant number, since it is smaller than the sum of its proper divisors (68938240).

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

29434944 is a wasteful number, since it uses less digits than its factorization.

29434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 29434944 is about 5425.3980499130. The cubic root of 29434944 is about 308.7600277576.

It can be divided in two parts, 2943 and 4944, that added together give a palindrome (7887).

The spelling of 29434944 in words is "twenty-nine million, four hundred thirty-four thousand, nine hundred forty-four".