340362960 has 160 divisors (see below), whose sum is σ = 1269442560. Its totient is φ = 73695744.

The previous prime is 340362959. The next prime is 340362961. The reversal of 340362960 is 69263043.

340362960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (340362959) and next prime (340362961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340362961) 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 31 ways as a sum of consecutive naturals, for example, 26589 + ... + 37251.

It is an arithmetic number, because the mean of its divisors is an integer number (7934016).

Almost surely, 2^340362960 is an apocalyptic number.

340362960 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 340362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634721280).

340362960 is an abundant number, since it is smaller than the sum of its proper divisors (929079600).

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

340362960 is a wasteful number, since it uses less digits than its factorization.

340362960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 340362960 is about 18448.9284241660. The cubic root of 340362960 is about 698.2014782234.

The spelling of 340362960 in words is "three hundred forty million, three hundred sixty-two thousand, nine hundred sixty".