34582240 has 144 divisors (see below), whose sum is σ = 103937904. Its totient is φ = 10752000.

The previous prime is 34582231. The next prime is 34582253. The reversal of 34582240 is 4228543.

34582240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34582199 and 34582208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86040 + ... + 86440.

It is an arithmetic number, because the mean of its divisors is an integer number (721791).

Almost surely, 2^34582240 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 34582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51968952).

34582240 is an abundant number, since it is smaller than the sum of its proper divisors (69355664).

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

34582240 is a wasteful number, since it uses less digits than its factorization.

34582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 34582240 is about 5880.6666288781. Note that the first 4 decimals coincide. The cubic root of 34582240 is about 325.7999701291.

The spelling of 34582240 in words is "thirty-four million, five hundred eighty-two thousand, two hundred forty".