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328545 = 32572149
BaseRepresentation
bin1010000001101100001
3121200200100
41100031201
541003140
611013013
72535600
oct1201541
9550610
10328545
11204928
1213a169
13b6709
1487a37
1567530
hex50361

328545 has 36 divisors (see below), whose sum is σ = 666900. Its totient is φ = 149184.

The previous prime is 328543. The next prime is 328579. The reversal of 328545 is 545823.

It can be written as a sum of positive squares in 2 ways, for example, as 74529 + 254016 = 273^2 + 504^2 .

It is not a de Polignac number, because 328545 - 21 = 328543 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328545.

It is not an unprimeable number, because it can be changed into a prime (328543) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2131 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (18525).

2328545 is an apocalyptic number.

328545 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

328545 is an abundant number, since it is smaller than the sum of its proper divisors (338355).

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

328545 is a wasteful number, since it uses less digits than its factorization.

328545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 328545 is about 573.1884506862. The cubic root of 328545 is about 69.0025203868.

The spelling of 328545 in words is "three hundred twenty-eight thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 149 245 315 441 447 735 745 1043 1341 2205 2235 3129 5215 6705 7301 9387 15645 21903 36505 46935 65709 109515 328545