340096240 has 80 divisors (see below), whose sum is σ = 868265856. Its totient is φ = 122860800.

The previous prime is 340096199. The next prime is 340096249. The reversal of 340096240 is 42690043.

340096240 is a nontrivial binomial coefficient, being equal to C(26081, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 340096199 and 340096208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340096249) 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 15 ways as a sum of consecutive naturals, for example, 142255 + ... + 144625.

Almost surely, 2^340096240 is an apocalyptic number.

340096240 is the 26080-th triangular number.

340096240 is the 8694-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434132928).

340096240 is an abundant number, since it is smaller than the sum of its proper divisors (528169616).

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

340096240 is a wasteful number, since it uses less digits than its factorization.

340096240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 340096240 is about 18441.6984033467. The cubic root of 340096240 is about 698.0190524160.

The spelling of 340096240 in words is "three hundred forty million, ninety-six thousand, two hundred forty".