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164434356 = 22324567621
BaseRepresentation
bin10011100110100…
…01000110110100
3102110102010112100
421303101012310
5314043344411
624152222100
74034445312
oct1163210664
9373363470
10164434356
1184900a69
124709a930
13280b3c48
1417ba50b2
15e681456
hex9cd11b4

164434356 has 18 divisors (see below), whose sum is σ = 415653602. Its totient is φ = 54811440.

The previous prime is 164434351. The next prime is 164434381. The reversal of 164434356 is 653434461.

164434356 is a `hidden beast` number, since 1 + 644 + 3 + 4 + 3 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156650256 + 7784100 = 12516^2 + 2790^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1644343563 (a number of 26 digits) contains 333 as substring.

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), and also a Moran number because the ratio is a prime number: 4567621 = 164434356 / (1 + 6 + 4 + 4 + 3 + 4 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 164434356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164434351) 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 5 ways as a sum of consecutive naturals, for example, 2283775 + ... + 2283846.

Almost surely, 2164434356 is an apocalyptic number.

It is an amenable number.

164434356 is an abundant number, since it is smaller than the sum of its proper divisors (251219246).

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

164434356 is a wasteful number, since it uses less digits than its factorization.

164434356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567631 (or 4567626 counting only the distinct ones).

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

The square root of 164434356 is about 12823.1960134750. The cubic root of 164434356 is about 547.8531805161.

The spelling of 164434356 in words is "one hundred sixty-four million, four hundred thirty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 4567621 9135242 13702863 18270484 27405726 41108589 54811452 82217178 164434356