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3287204096 = 28112106121
BaseRepresentation
bin1100001111101110…
…1100000100000000
322111002110021021212
43003323230010000
523213011012341
61302104105252
7144313526261
oct30373540400
98432407255
103287204096
1114375a5100
12778a65228
13405051ca7
14232808968
151438c65eb
hexc3eec100

3287204096 has 54 divisors (see below), whose sum is σ = 7212369486. Its totient is φ = 1494169600.

The previous prime is 3287204083. The next prime is 3287204131. The reversal of 3287204096 is 6904027823.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3171942400 + 115261696 = 56320^2 + 10736^2 .

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 5 ways as a sum of consecutive naturals, for example, 22085 + ... + 84036.

Almost surely, 23287204096 is an apocalyptic number.

It is an amenable number.

3287204096 is an abundant number, since it is smaller than the sum of its proper divisors (3925165390).

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

3287204096 is a wasteful number, since it uses less digits than its factorization.

3287204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106159 (or 106134 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 3287204096 is about 57334.1442423274. The cubic root of 3287204096 is about 1486.8787560524.

The spelling of 3287204096 in words is "three billion, two hundred eighty-seven million, two hundred four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976 106121 212242 424484 848968 1167331 1697936 2334662 3395872 4669324 6791744 9338648 12840641 13583488 18677296 25681282 27166976 37354592 51362564 74709184 102725128 149418368 205450256 298836736 410900512 821801024 1643602048 3287204096