164345346 has 72 divisors (see below), whose sum is σ = 398133372. Its totient is φ = 48945600.

The previous prime is 164345309. The next prime is 164345347. The reversal of 164345346 is 643543461.

164345346 is a `hidden beast` number, since 1 + 643 + 4 + 5 + 3 + 4 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159744321 + 4601025 = 12639^2 + 2145^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164345346.

It is not an unprimeable number, because it can be changed into a prime (164345347) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 132240 + ... + 133476.

Almost surely, 2^164345346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164345346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199066686).

164345346 is an abundant number, since it is smaller than the sum of its proper divisors (233788026).

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

164345346 is a wasteful number, since it uses less digits than its factorization.

164345346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1314 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 164345346 is about 12819.7248800433. The cubic root of 164345346 is about 547.7543098293.

The spelling of 164345346 in words is "one hundred sixty-four million, three hundred forty-five thousand, three hundred forty-six".