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328102164 = 223413611277
BaseRepresentation
bin10011100011100…
…111000100010100
3211212101022120000
4103203213010110
51132443232124
652320211300
711062552035
oct2343470424
9755338500
10328102164
11159229015
1291a69b30
1352c89cc0
143180aa8c
151dc106c9
hex138e7114

328102164 has 120 divisors (see below), whose sum is σ = 939580488. Its totient is φ = 99221760.

The previous prime is 328102141. The next prime is 328102183. The reversal of 328102164 is 461201823.

328102164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 202500 + 327899664 = 450^2 + 18108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 256294 + ... + 257570.

Almost surely, 2328102164 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 328102164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469790244).

328102164 is an abundant number, since it is smaller than the sum of its proper divisors (611478324).

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

328102164 is a wasteful number, since it uses less digits than its factorization.

328102164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 328102164 is about 18113.5905882848. The cubic root of 328102164 is about 689.7150430149.

Adding to 328102164 its reverse (461201823), we get a palindrome (789303987).

The spelling of 328102164 in words is "three hundred twenty-eight million, one hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 81 108 117 122 156 162 183 234 244 324 351 366 468 549 702 732 793 1053 1098 1277 1404 1586 1647 2106 2196 2379 2554 3172 3294 3831 4212 4758 4941 5108 6588 7137 7662 9516 9882 11493 14274 15324 16601 19764 21411 22986 28548 33202 34479 42822 45972 49803 64233 66404 68958 77897 85644 99606 103437 128466 137916 149409 155794 199212 206874 233691 256932 298818 311588 413748 448227 467382 597636 701073 896454 934764 1012661 1344681 1402146 1792908 2025322 2103219 2689362 2804292 3037983 4050644 4206438 5378724 6075966 6309657 8412876 9113949 12151932 12619314 18227898 25238628 27341847 36455796 54683694 82025541 109367388 164051082 328102164