340317120 has 448 divisors, whose sum is σ = 1323173376. Its totient is φ = 72990720.

The previous prime is 340317079. The next prime is 340317121. The reversal of 340317120 is 21713043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340317121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5079327 + ... + 5079393.

It is an arithmetic number, because the mean of its divisors is an integer number (2953512).

Almost surely, 2^340317120 is an apocalyptic number.

340317120 is a gapful number since it is divisible by the number (30) 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 340317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661586688).

340317120 is an abundant number, since it is smaller than the sum of its proper divisors (982856256).

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

340317120 is a wasteful number, since it uses less digits than its factorization.

340317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 340317120 is about 18447.6860337550. The cubic root of 340317120 is about 698.1701322815.

The spelling of 340317120 in words is "three hundred forty million, three hundred seventeen thousand, one hundred twenty".