29434320 has 80 divisors (see below), whose sum is σ = 101392320. Its totient is φ = 7848576.

The previous prime is 29434291. The next prime is 29434337. The reversal of 29434320 is 2343492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4654 + ... + 8973.

It is an arithmetic number, because the mean of its divisors is an integer number (1267404).

Almost surely, 2^29434320 is an apocalyptic number.

29434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29434320 is an abundant number, since it is smaller than the sum of its proper divisors (71958000).

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

29434320 is a wasteful number, since it uses less digits than its factorization.

29434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649 (or 13637 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 29434320 is about 5425.3405423070. The cubic root of 29434320 is about 308.7578459108.

The spelling of 29434320 in words is "twenty-nine million, four hundred thirty-four thousand, three hundred twenty".