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164106348 = 22376132027
BaseRepresentation
bin10011100100000…
…01000001101100
3102102210110120220
421302001001230
5314002400343
624141211340
74031611110
oct1162010154
9372713526
10164106348
11846a758a
1246b60b50
1327cca863
1417b1b740
15e619183
hex9c8106c

164106348 has 48 divisors (see below), whose sum is σ = 444804864. Its totient is φ = 46117440.

The previous prime is 164106337. The next prime is 164106377. The reversal of 164106348 is 843601461.

164106348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10890 + ... + 21137.

It is an arithmetic number, because the mean of its divisors is an integer number (9266768).

Almost surely, 2164106348 is an apocalyptic number.

It is an amenable number.

164106348 is an abundant number, since it is smaller than the sum of its proper divisors (280698516).

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

164106348 is a wasteful number, since it uses less digits than its factorization.

164106348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32102 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 164106348 is about 12810.3999937551. The cubic root of 164106348 is about 547.4886584669.

The spelling of 164106348 in words is "one hundred sixty-four million, one hundred six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 32027 64054 96081 128108 192162 224189 384324 448378 672567 896756 1345134 1953647 2690268 3907294 5860941 7814588 11721882 13675529 23443764 27351058 41026587 54702116 82053174 164106348