342342100 has 72 divisors (see below), whose sum is σ = 777059640. Its totient is φ = 130744320.

The previous prime is 342342067. The next prime is 342342101. The reversal of 342342100 is 1243243.

342342100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 119377476 + 222964624 = 10926^2 + 14932^2 .

It is a super-2 number, since 2×342342100² = 234396226864820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342342101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280692 + ... + 281908.

It is an arithmetic number, because the mean of its divisors is an integer number (10792495).

Almost surely, 2^342342100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388529820).

342342100 is an abundant number, since it is smaller than the sum of its proper divisors (434717540).

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

342342100 is a wasteful number, since it uses less digits than its factorization.

342342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 342342100 is about 18502.4890217506. The cubic root of 342342100 is about 699.5521625287.

Adding to 342342100 its reverse (1243243), we get a palindrome (343585343).

The spelling of 342342100 in words is "three hundred forty-two million, three hundred forty-two thousand, one hundred".