42340200 has 192 divisors, whose sum is σ = 159096960. Its totient is φ = 9093120.

The previous prime is 42340169. The next prime is 42340213. The reversal of 42340200 is 204324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42340200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 71104 + ... + 71696.

It is an arithmetic number, because the mean of its divisors is an integer number (828630).

Almost surely, 2^42340200 is an apocalyptic number.

42340200 is a gapful number since it is divisible by the number (40) 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 42340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

42340200 is an abundant number, since it is smaller than the sum of its proper divisors (116756760).

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

42340200 is a wasteful number, since it uses less digits than its factorization.

42340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42340200 is about 6506.9347622364. The cubic root of 42340200 is about 348.5386690012.

Adding to 42340200 its reverse (204324), we get a palindrome (42544524).

It can be divided in two parts, 42 and 340200, that multiplied together give a square (14288400 = 3780²).

The spelling of 42340200 in words is "forty-two million, three hundred forty thousand, two hundred".