345366252 has 144 divisors (see below), whose sum is σ = 1135959552. Its totient is φ = 85789440.

The previous prime is 345366221. The next prime is 345366253. The reversal of 345366252 is 252663543.

345366252 is a `hidden beast` number, since 3 + 45 + 366 + 252 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345366253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61048 + ... + 66464.

It is an arithmetic number, because the mean of its divisors is an integer number (7888608).

Almost surely, 2^345366252 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 345366252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567979776).

345366252 is an abundant number, since it is smaller than the sum of its proper divisors (790593300).

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

345366252 is a wasteful number, since it uses less digits than its factorization.

345366252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5463 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 345366252 is about 18584.0321781900. The cubic root of 345366252 is about 701.6060077617.

The spelling of 345366252 in words is "three hundred forty-five million, three hundred sixty-six thousand, two hundred fifty-two".