Search a number
-
+
328505823 = 32291258643
BaseRepresentation
bin10011100101001…
…001100111011111
3211220010211021100
4103211021213133
51133044141243
652333004143
711066152632
oct2345114737
9756124240
10328505823
11159484318
1292023653
135309b959
14318b3c19
151dc900d3
hex139499df

328505823 has 12 divisors (see below), whose sum is σ = 490871160. Its totient is φ = 211451856.

The previous prime is 328505809. The next prime is 328505851.

328505823 is a `hidden beast` number, since 3 + 28 + 50 + 582 + 3 = 666.

328505823 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 328505823 - 29 = 328505311 is a prime.

It is a super-3 number, since 3×3285058233 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328505893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 629061 + ... + 629582.

It is an arithmetic number, because the mean of its divisors is an integer number (40905930).

Almost surely, 2328505823 is an apocalyptic number.

328505823 is a deficient number, since it is larger than the sum of its proper divisors (162365337).

328505823 is a wasteful number, since it uses less digits than its factorization.

328505823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258678 (or 1258675 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 328505823 is about 18124.7295979830. The cubic root of 328505823 is about 689.9977756702.

The spelling of 328505823 in words is "three hundred twenty-eight million, five hundred five thousand, eight hundred twenty-three".

Divisors: 1 3 9 29 87 261 1258643 3775929 11327787 36500647 109501941 328505823