29434240 has 128 divisors (see below), whose sum is σ = 79535520. Its totient is φ = 10321920.

The previous prime is 29434213. The next prime is 29434243. The reversal of 29434240 is 4243492.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 29434199 and 29434208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29434243) 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 15 ways as a sum of consecutive naturals, for example, 260424 + ... + 260536.

Almost surely, 2^29434240 is an apocalyptic number.

29434240 is a gapful number since it is divisible by the number (20) 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 29434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39767760).

29434240 is an abundant number, since it is smaller than the sum of its proper divisors (50101280).

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

29434240 is a wasteful number, since it uses less digits than its factorization.

29434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 29434240 is about 5425.3331694929. Note that the first 3 decimals coincide. The cubic root of 29434240 is about 308.7575661846.

The spelling of 29434240 in words is "twenty-nine million, four hundred thirty-four thousand, two hundred forty".