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328364361 = 34132910753
BaseRepresentation
bin10011100100100…
…111000101001001
3211212212122020000
4103210213011021
51133030124421
652325553213
711065023333
oct2344470511
9755778200
10328364361
11159398006
1291b75809
135304c450
1431878453
151dc63226
hex13927149

328364361 has 40 divisors (see below), whose sum is σ = 546518280. Its totient is φ = 195084288.

The previous prime is 328364341. The next prime is 328364363. The reversal of 328364361 is 163463823.

328364361 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 643 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71723961 + 256640400 = 8469^2 + 16020^2 .

It is not a de Polignac number, because 328364361 - 218 = 328102217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (328364363) by changing a digit.

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, 25161 + ... + 35913.

It is an arithmetic number, because the mean of its divisors is an integer number (13662957).

Almost surely, 2328364361 is an apocalyptic number.

It is an amenable number.

328364361 is a deficient number, since it is larger than the sum of its proper divisors (218153919).

328364361 is a wasteful number, since it uses less digits than its factorization.

328364361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10807 (or 10798 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 328364361 is about 18120.8267195512. The cubic root of 328364361 is about 689.8987185935.

The spelling of 328364361 in words is "three hundred twenty-eight million, three hundred sixty-four thousand, three hundred sixty-one".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 351 377 783 1053 1131 2349 3393 10179 10753 30537 32259 96777 139789 290331 311837 419367 870993 935511 1258101 2806533 3774303 4053881 8419599 11322909 12161643 25258797 36484929 109454787 328364361