340582032 has 240 divisors, whose sum is σ = 1151354880. Its totient is φ = 91929600.

The previous prime is 340582031. The next prime is 340582037. The reversal of 340582032 is 230285043.

340582032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340582032² = 231992241042498048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340581987 and 340582005.

It is not an unprimeable number, because it can be changed into a prime (340582031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1783057 + ... + 1783247.

It is an arithmetic number, because the mean of its divisors is an integer number (4797312).

Almost surely, 2^340582032 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 340582032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575677440).

340582032 is an abundant number, since it is smaller than the sum of its proper divisors (810772848).

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

340582032 is a wasteful number, since it uses less digits than its factorization.

340582032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 340582032 is about 18454.8647245110. The cubic root of 340582032 is about 698.3512434325.

The spelling of 340582032 in words is "three hundred forty million, five hundred eighty-two thousand, thirty-two".