342510120 has 160 divisors (see below), whose sum is σ = 1170762120. Its totient is φ = 89786880.

The previous prime is 342510083. The next prime is 342510121. The reversal of 342510120 is 21015243.

342510120 is a `hidden beast` number, since 34 + 2 + 510 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 168428484 + 174081636 = 12978^2 + 13194^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 342510093 and 342510102.

It is not an unprimeable number, because it can be changed into a prime (342510121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 196774 + ... + 198506.

Almost surely, 2^342510120 is an apocalyptic number.

342510120 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 342510120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585381060).

342510120 is an abundant number, since it is smaller than the sum of its proper divisors (828252000).

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

342510120 is a wasteful number, since it uses less digits than its factorization.

342510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 342510120 is about 18507.0289349749. The cubic root of 342510120 is about 699.6665895209. Note that the first 3 decimals are identical.

Adding to 342510120 its reverse (21015243), we get a palindrome (363525363).

The spelling of 342510120 in words is "three hundred forty-two million, five hundred ten thousand, one hundred twenty".