340188960 has 96 divisors (see below), whose sum is σ = 1074487680. Its totient is φ = 90472448.

The previous prime is 340188943. The next prime is 340188971. The reversal of 340188960 is 69881043.

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

It is an unprimeable number.

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, 240736 + ... + 242144.

It is an arithmetic number, because the mean of its divisors is an integer number (11192580).

Almost surely, 2^340188960 is an apocalyptic number.

340188960 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 340188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537243840).

340188960 is an abundant number, since it is smaller than the sum of its proper divisors (734298720).

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

340188960 is a wasteful number, since it uses less digits than its factorization.

340188960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 340188960 is about 18444.2121002769. The cubic root of 340188960 is about 698.0824799975.

The spelling of 340188960 in words is "three hundred forty million, one hundred eighty-eight thousand, nine hundred sixty".