340890144 has 96 divisors (see below), whose sum is σ = 1036828800. Its totient is φ = 96049152.

The previous prime is 340890131. The next prime is 340890169. The reversal of 340890144 is 441098043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 45582 + ... + 52530.

It is an arithmetic number, because the mean of its divisors is an integer number (10800300).

Almost surely, 2^340890144 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 340890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518414400).

340890144 is an abundant number, since it is smaller than the sum of its proper divisors (695938656).

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

340890144 is a wasteful number, since it uses less digits than its factorization.

340890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 340890144 is about 18463.2105550470. The cubic root of 340890144 is about 698.5617708288.

The spelling of 340890144 in words is "three hundred forty million, eight hundred ninety thousand, one hundred forty-four".