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328164 = 223232941
BaseRepresentation
bin1010000000111100100
3121200011020
41100013210
541000124
611011140
72534514
oct1200744
9550136
10328164
11204611
12139ab0
13b64a5
1487844
1567379
hex501e4

328164 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 98560.

The previous prime is 328129. The next prime is 328171. The reversal of 328164 is 461823.

It is a happy number.

It is a super-2 number, since 2×3281642 = 215383221792, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7984 + ... + 8024.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2328164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

328164 is an abundant number, since it is smaller than the sum of its proper divisors (518556).

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

328164 is a wasteful number, since it uses less digits than its factorization.

328164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 328164 is about 572.8560028489. The cubic root of 328164 is about 68.9758369500.

Adding to 328164 its reverse (461823), we get a palindrome (789987).

The spelling of 328164 in words is "three hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 29 41 46 58 69 82 87 92 116 123 138 164 174 246 276 348 492 667 943 1189 1334 1886 2001 2378 2668 2829 3567 3772 4002 4756 5658 7134 8004 11316 14268 27347 54694 82041 109388 164082 328164