34050432 has 128 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 9897984.

The previous prime is 34050427. The next prime is 34050449. The reversal of 34050432 is 23405043.

It is a happy number.

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 = 34050399 and 34050408.

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, 94669 + ... + 95027.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^34050432 is an apocalyptic number.

34050432 is a gapful number since it is divisible by the number (32) 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 34050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

34050432 is an abundant number, since it is smaller than the sum of its proper divisors (68765568).

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

34050432 is a wasteful number, since it uses less digits than its factorization.

34050432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34050432 is about 5835.2748007270. The cubic root of 34050432 is about 324.1212775676.

Adding to 34050432 its reverse (23405043), we get a palindrome (57455475).

The spelling of 34050432 in words is "thirty-four million, fifty thousand, four hundred thirty-two".