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3275385984 = 273413191279
BaseRepresentation
bin1100001100111010…
…0110110010000000
322110021012211220000
43003032212302000
523201444322414
61301002520000
7144111215163
oct30316466200
98407184800
103275385984
111430962a72
12774b06000
13402774a20
1423100dada
1514283eb09
hexc33a6c80

3275385984 has 320 divisors, whose sum is σ = 11058432000. Its totient is φ = 954021888.

The previous prime is 3275385979. The next prime is 3275385989. The reversal of 3275385984 is 4895835723.

3275385984 is a `hidden beast` number, since 3 + 27 + 538 + 5 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (3275385979) and next prime (3275385989).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3275385984.

It is not an unprimeable number, because it can be changed into a prime (3275385989) 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, 2560257 + ... + 2561535.

It is an arithmetic number, because the mean of its divisors is an integer number (34557600).

Almost surely, 23275385984 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 3275385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529216000).

3275385984 is an abundant number, since it is smaller than the sum of its proper divisors (7783046016).

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

3275385984 is a wasteful number, since it uses less digits than its factorization.

3275385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1316 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 3275385984 is about 57230.9879698053. The cubic root of 3275385984 is about 1485.0947475513.

The spelling of 3275385984 in words is "three billion, two hundred seventy-five million, three hundred eighty-five thousand, nine hundred eighty-four".