340111200 has 288 divisors, whose sum is σ = 1301916672. Its totient is φ = 76032000.

The previous prime is 340111181. The next prime is 340111249. The reversal of 340111200 is 2111043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 342705 + ... + 343695.

It is an arithmetic number, because the mean of its divisors is an integer number (4520544).

Almost surely, 2^340111200 is an apocalyptic number.

340111200 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 340111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650958336).

340111200 is an abundant number, since it is smaller than the sum of its proper divisors (961805472).

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

340111200 is a wasteful number, since it uses less digits than its factorization.

340111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 340111200 is about 18442.1040014419. The cubic root of 340111200 is about 698.0292869817.

Adding to 340111200 its reverse (2111043), we get a palindrome (342222243).

The spelling of 340111200 in words is "three hundred forty million, one hundred eleven thousand, two hundred".