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164043321 = 31319534177
BaseRepresentation
bin10011100011100…
…01101000111001
3102102200021010120
421301301220321
5313443341241
624140003453
74031226261
oct1161615071
9372607116
10164043321
11846641a2
1246b30589
1327ca7c70
1417b027a1
15e605666
hex9c71a39

164043321 has 32 divisors (see below), whose sum is σ = 252685440. Its totient is φ = 93809664.

The previous prime is 164043317. The next prime is 164043331. The reversal of 164043321 is 123340461.

164043321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164043321 - 22 = 164043317 is a prime.

It is a super-2 number, since 2×1640433212 = 53820422329418082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164043291 and 164043300.

It is not an unprimeable number, because it can be changed into a prime (164043331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37185 + ... + 41361.

It is an arithmetic number, because the mean of its divisors is an integer number (7896420).

Almost surely, 2164043321 is an apocalyptic number.

It is an amenable number.

164043321 is a deficient number, since it is larger than the sum of its proper divisors (88642119).

164043321 is a wasteful number, since it uses less digits than its factorization.

164043321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 164043321 is about 12807.9397640682. The cubic root of 164043321 is about 547.4185596426.

Adding to 164043321 its reverse (123340461), we get a palindrome (287383782).

The spelling of 164043321 in words is "one hundred sixty-four million, forty-three thousand, three hundred twenty-one".

Divisors: 1 3 13 19 39 53 57 159 247 689 741 1007 2067 3021 4177 12531 13091 39273 54301 79363 162903 221381 238089 664143 1031719 2877953 3095157 4206239 8633859 12618717 54681107 164043321