342414000 has 320 divisors, whose sum is σ = 1302238080. Its totient is φ = 85708800.

The previous prime is 342413999. The next prime is 342414011. The reversal of 342414000 is 414243.

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 63 ways as a sum of consecutive naturals, for example, 917814 + ... + 918186.

It is an arithmetic number, because the mean of its divisors is an integer number (4069494).

Almost surely, 2^342414000 is an apocalyptic number.

342414000 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 342414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651119040).

342414000 is an abundant number, since it is smaller than the sum of its proper divisors (959824080).

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

342414000 is a wasteful number, since it uses less digits than its factorization.

342414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 342414000 is about 18504.4319015743. The cubic root of 342414000 is about 699.6011333093.

Adding to 342414000 its reverse (414243), we get a palindrome (342828243).

It can be divided in two parts, 3424 and 14000, that added together give a square (17424 = 132²).

The spelling of 342414000 in words is "three hundred forty-two million, four hundred fourteen thousand".