Search a number
-
+
1327355304 = 2331143116927
BaseRepresentation
bin100111100011101…
…1101010110101000
310102111122122011120
41033013131112220
510204300332204
6335413455240
744615222352
oct11707352650
93374578146
101327355304
11621291760
12310641520
13181cc5252
14c84020d2
157b7e56d9
hex4f1dd5a8

1327355304 has 64 divisors (see below), whose sum is σ = 3704279040. Its totient is φ = 392871360.

The previous prime is 1327355299. The next prime is 1327355329. The reversal of 1327355304 is 4035537231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47112 + ... + 69815.

It is an arithmetic number, because the mean of its divisors is an integer number (57879360).

Almost surely, 21327355304 is an apocalyptic number.

It is an amenable number.

1327355304 is an abundant number, since it is smaller than the sum of its proper divisors (2376923736).

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

1327355304 is a wasteful number, since it uses less digits than its factorization.

1327355304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116990 (or 116986 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 1327355304 is about 36432.8876703453. The cubic root of 1327355304 is about 1098.9950336517.

The spelling of 1327355304 in words is "one billion, three hundred twenty-seven million, three hundred fifty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 116927 233854 350781 467708 701562 935416 1286197 1403124 2572394 2806248 3858591 5027861 5144788 7717182 10055722 10289576 15083583 15434364 20111444 30167166 30868728 40222888 55306471 60334332 110612942 120668664 165919413 221225884 331838826 442451768 663677652 1327355304