345142000 has 160 divisors (see below), whose sum is σ = 967973760. Its totient is φ = 116582400.

The previous prime is 345141983. The next prime is 345142081. The reversal of 345142000 is 241543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245862 + ... + 1246138.

It is an arithmetic number, because the mean of its divisors is an integer number (6049836).

Almost surely, 2^345142000 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 345142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483986880).

345142000 is an abundant number, since it is smaller than the sum of its proper divisors (622831760).

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

345142000 is a wasteful number, since it uses less digits than its factorization.

345142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 345142000 is about 18577.9977392614. The cubic root of 345142000 is about 701.4541201009.

Adding to 345142000 its reverse (241543), we get a palindrome (345383543).

It can be divided in two parts, 3451 and 42000, that added together give a triangular number (45451 = T₃₀₁).

The spelling of 345142000 in words is "three hundred forty-five million, one hundred forty-two thousand".