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1327663404 = 223246179999
BaseRepresentation
bin100111100100010…
…1000100100101100
310102112020021210200
41033020220210230
510204340212104
6335424233500
744620644534
oct11710504454
93375207720
101327663404
11621482191
1231076b890
131820a2562
14c84824c4
157b856b39
hex4f22892c

1327663404 has 36 divisors (see below), whose sum is σ = 3363360000. Its totient is φ = 441588960.

The previous prime is 1327663397. The next prime is 1327663411. The reversal of 1327663404 is 4043667231.

It is a happy number.

1327663404 is a `hidden beast` number, since 13 + 2 + 7 + 6 + 634 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1327663397) and next prime (1327663411).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13276634042 = 3525380228641734432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 23404 + ... + 56595.

Almost surely, 21327663404 is an apocalyptic number.

It is an amenable number.

1327663404 is an abundant number, since it is smaller than the sum of its proper divisors (2035696596).

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

1327663404 is a wasteful number, since it uses less digits than its factorization.

1327663404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80470 (or 80465 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1327663404 is about 36437.1157475451. The cubic root of 1327663404 is about 1099.0800584058.

The spelling of 1327663404 in words is "one billion, three hundred twenty-seven million, six hundred sixty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 461 922 1383 1844 2766 4149 5532 8298 16596 79999 159998 239997 319996 479994 719991 959988 1439982 2879964 36879539 73759078 110638617 147518156 221277234 331915851 442554468 663831702 1327663404