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164342325 = 35272197227
BaseRepresentation
bin10011100101110…
…10101000110101
3102110020110021210
421302322220311
5314032423300
624150232033
74033613100
oct1162725065
9373213253
10164342325
1184848904
1247055619
13280810a4
1417b7d737
15e664050
hex9cbaa35

164342325 has 72 divisors (see below), whose sum is σ = 319077792. Its totient is φ = 74417280.

The previous prime is 164342287. The next prime is 164342329. The reversal of 164342325 is 523243461.

It is not a de Polignac number, because 164342325 - 26 = 164342261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164342292 and 164342301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164342329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 723862 + ... + 724088.

It is an arithmetic number, because the mean of its divisors is an integer number (4431636).

Almost surely, 2164342325 is an apocalyptic number.

164342325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164342325 is a deficient number, since it is larger than the sum of its proper divisors (154735467).

164342325 is a wasteful number, since it uses less digits than its factorization.

164342325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 164342325 is about 12819.6070532603. The cubic root of 164342325 is about 547.7509535313.

Adding to 164342325 its reverse (523243461), we get a palindrome (687585786).

The spelling of 164342325 in words is "one hundred sixty-four million, three hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 197 227 245 525 591 681 735 985 1135 1225 1379 1589 2955 3405 3675 4137 4767 4925 5675 6895 7945 9653 11123 14775 17025 20685 23835 28959 33369 34475 39725 44719 48265 55615 103425 119175 134157 144795 166845 223595 241325 278075 313033 670785 723975 834225 939099 1117975 1565165 2191231 3353925 4695495 6573693 7825825 10956155 23477475 32868465 54780775 164342325