346146240 has 112 divisors (see below), whose sum is σ = 1198961280. Its totient is φ = 83911680.

The previous prime is 346146239. The next prime is 346146253. The reversal of 346146240 is 42641643.

It is a super-2 number, since 2×346146240² = 239634438932275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 346146198 and 346146207.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5830 + ... + 26949.

Almost surely, 2^346146240 is an apocalyptic number.

346146240 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 346146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599480640).

346146240 is an abundant number, since it is smaller than the sum of its proper divisors (852815040).

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

346146240 is a wasteful number, since it uses less digits than its factorization.

346146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32810 (or 32800 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 346146240 is about 18605.0057780158. The cubic root of 346146240 is about 702.1337883497.

Adding to 346146240 its reverse (42641643), we get a palindrome (388787883).

The spelling of 346146240 in words is "three hundred forty-six million, one hundred forty-six thousand, two hundred forty".