342151200 has 108 divisors (see below), whose sum is σ = 1206536058. Its totient is φ = 91238400.

The previous prime is 342151189. The next prime is 342151213. The reversal of 342151200 is 2151243.

It can be written as a sum of positive squares in 3 ways, for example, as 310746384 + 31404816 = 17628^2 + 5604^2 .

It is a super-2 number, since 2×342151200² = 234134887322880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16561 + ... + 30960.

Almost surely, 2^342151200 is an apocalyptic number.

342151200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342151200 is an abundant number, since it is smaller than the sum of its proper divisors (864384858).

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

342151200 is a wasteful number, since it uses less digits than its factorization.

342151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47547 (or 47531 counting only the distinct ones).

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

The square root of 342151200 is about 18497.3295369899. The cubic root of 342151200 is about 699.4221080809.

The spelling of 342151200 in words is "three hundred forty-two million, one hundred fifty-one thousand, two hundred".