340993800 has 480 divisors, whose sum is σ = 1411576320. Its totient is φ = 74649600.

The previous prime is 340993771. The next prime is 340993819. The reversal of 340993800 is 8399043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 3515352 + ... + 3515448.

It is an arithmetic number, because the mean of its divisors is an integer number (2940784).

Almost surely, 2^340993800 is an apocalyptic number.

340993800 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 340993800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705788160).

340993800 is an abundant number, since it is smaller than the sum of its proper divisors (1070582520).

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

340993800 is a wasteful number, since it uses less digits than its factorization.

340993800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 340993800 is about 18466.0174374444. The cubic root of 340993800 is about 698.6325685937.

The spelling of 340993800 in words is "three hundred forty million, nine hundred ninety-three thousand, eight hundred".