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164434504 = 23131581101
BaseRepresentation
bin10011100110100…
…01001001001000
3102110102010201211
421303101021020
5314043401004
624152222504
74034445613
oct1163211110
9373363654
10164434504
1184901093
124709aa34
13280b4030
1417ba517a
15e681504
hex9cd1248

164434504 has 16 divisors (see below), whose sum is σ = 332031420. Its totient is φ = 75892800.

The previous prime is 164434483. The next prime is 164434507. The reversal of 164434504 is 405434461.

It can be written as a sum of positive squares in 2 ways, for example, as 134513604 + 29920900 = 11598^2 + 5470^2 .

It is a super-3 number, since 3×1644345043 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (164434507) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 790447 + ... + 790654.

Almost surely, 2164434504 is an apocalyptic number.

It is an amenable number.

164434504 is an abundant number, since it is smaller than the sum of its proper divisors (167596916).

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

164434504 is a wasteful number, since it uses less digits than its factorization.

164434504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581120 (or 1581116 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 164434504 is about 12823.2017842659. The cubic root of 164434504 is about 547.8533448821.

Adding to 164434504 its reverse (405434461), we get a palindrome (569868965).

The spelling of 164434504 in words is "one hundred sixty-four million, four hundred thirty-four thousand, five hundred four".

Divisors: 1 2 4 8 13 26 52 104 1581101 3162202 6324404 12648808 20554313 41108626 82217252 164434504