340458144 has 192 divisors, whose sum is σ = 1041465600. Its totient is φ = 96509952.

The previous prime is 340458119. The next prime is 340458149. The reversal of 340458144 is 441854043.

It is not an unprimeable number, because it can be changed into a prime (340458149) 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 31 ways as a sum of consecutive naturals, for example, 832212 + ... + 832620.

It is an arithmetic number, because the mean of its divisors is an integer number (5424300).

Almost surely, 2^340458144 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 340458144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520732800).

340458144 is an abundant number, since it is smaller than the sum of its proper divisors (701007456).

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

340458144 is a wasteful number, since it uses less digits than its factorization.

340458144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 340458144 is about 18451.5079058596. The cubic root of 340458144 is about 698.2665571962.

The spelling of 340458144 in words is "three hundred forty million, four hundred fifty-eight thousand, one hundred forty-four".