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BaseRepresentation
bin100111011100001…
…0011011100000000
310102020011210112201
41032320103130000
510202241220103
6335152402544
744536365046
oct11670233400
93366153481
101323382528
1161a018976
1230b246454
13181233bb0
14c7a8a396
hex4ee13700

1323382528 has 72 divisors (see below), whose sum is σ = 2994664400. Its totient is φ = 578617344.

The previous prime is 1323382519. The next prime is 1323382537. The reversal of 1323382528 is 8252833231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1323382519) and next prime (1323382537).

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 7 ways as a sum of consecutive naturals, for example, 52768 + ... + 73696.

Almost surely, 21323382528 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 1323382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497332200).

1323382528 is an abundant number, since it is smaller than the sum of its proper divisors (1671281872).

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

1323382528 is a wasteful number, since it uses less digits than its factorization.

1323382528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20977 (or 20963 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 1323382528 is about 36378.3249751827. The cubic root of 1323382528 is about 1097.8975068093.

It can be divided in two parts, 13 and 23382528, that added together give a triangular number (23382541 = T6838).

The spelling of 1323382528 in words is "one billion, three hundred twenty-three million, three hundred eighty-two thousand, five hundred twenty-eight".