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164584341 = 3218287149
BaseRepresentation
bin10011100111101…
…01101110010101
3102110200202021100
421303311232111
5314113144331
624155340313
74035641505
oct1163655625
9373622240
10164584341
11849a3719
1247151699
13281372ac
1417c03a05
15e6b0ae6
hex9cf5b95

164584341 has 6 divisors (see below), whose sum is σ = 237732950. Its totient is φ = 109722888.

The previous prime is 164584337. The next prime is 164584391. The reversal of 164584341 is 143485461.

164584341 is a `hidden beast` number, since 1 + 645 + 8 + 4 + 3 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124211025 + 40373316 = 11145^2 + 6354^2 .

It is not a de Polignac number, because 164584341 - 22 = 164584337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164584296 and 164584305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164584331) 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 5 ways as a sum of consecutive naturals, for example, 9143566 + ... + 9143583.

Almost surely, 2164584341 is an apocalyptic number.

It is an amenable number.

164584341 is a deficient number, since it is larger than the sum of its proper divisors (73148609).

164584341 is a wasteful number, since it uses less digits than its factorization.

164584341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18287155 (or 18287152 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 164584341 is about 12829.0428715474. The cubic root of 164584341 is about 548.0197004390.

The spelling of 164584341 in words is "one hundred sixty-four million, five hundred eighty-four thousand, three hundred forty-one".

Divisors: 1 3 9 18287149 54861447 164584341