340096512 has 160 divisors (see below), whose sum is σ = 1059075072. Its totient is φ = 94961664.

The previous prime is 340096507. The next prime is 340096513. The reversal of 340096512 is 215690043.

It is a super-2 number, since 2×340096512² = 231331274949132288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340096512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340096513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505008 + ... + 505680.

Almost surely, 2^340096512 is an apocalyptic number.

340096512 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 340096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529537536).

340096512 is an abundant number, since it is smaller than the sum of its proper divisors (718978560).

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

340096512 is an equidigital number, since it uses as much as digits as its factorization.

340096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 340096512 is about 18441.7057779371. The cubic root of 340096512 is about 698.0192385017.

The spelling of 340096512 in words is "three hundred forty million, ninety-six thousand, five hundred twelve".