342693000 has 384 divisors, whose sum is σ = 1303192800. Its totient is φ = 80640000.

The previous prime is 342692989. The next prime is 342693011. The reversal of 342693000 is 396243.

It is an interprime number because it is at equal distance from previous prime (342692989) and next prime (342693011).

It can be written as a sum of positive squares in 16 ways, for example, as 3617604 + 339075396 = 1902^2 + 18414^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 3392950 + ... + 3393050.

Almost surely, 2^342693000 is an apocalyptic number.

342693000 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 342693000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651596400).

342693000 is an abundant number, since it is smaller than the sum of its proper divisors (960499800).

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

342693000 is a wasteful number, since it uses less digits than its factorization.

342693000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 342693000 is about 18511.9691010978. The cubic root of 342693000 is about 699.7910941236.

The spelling of 342693000 in words is "three hundred forty-two million, six hundred ninety-three thousand".