342142100 has 36 divisors (see below), whose sum is σ = 746777724. Its totient is φ = 136058880.

The previous prime is 342142049. The next prime is 342142103. The reversal of 342142100 is 1241243.

It can be written as a sum of positive squares in 6 ways, for example, as 2256004 + 339886096 = 1502^2 + 18436^2 .

It is a super-2 number, since 2×342142100² = 234122433184820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342142103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7412 + ... + 27188.

Almost surely, 2^342142100 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 342142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373388862).

342142100 is an abundant number, since it is smaller than the sum of its proper divisors (404635624).

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

342142100 is a wasteful number, since it uses less digits than its factorization.

342142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19964 (or 19957 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 342142100 is about 18497.0835539011. The cubic root of 342142100 is about 699.4159073159.

Adding to 342142100 its reverse (1241243), we get a palindrome (343383343).

The spelling of 342142100 in words is "three hundred forty-two million, one hundred forty-two thousand, one hundred".