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1327331304 = 2332131783417
BaseRepresentation
bin100111100011101…
…0111011111101000
310102111121102020200
41033013113133220
510204244100204
6335413152200
744615062365
oct11707273750
93374542220
101327331304
11621275722
1231062b660
13181cb7350
14c83d746c
157b7dd539
hex4f1d77e8

1327331304 has 96 divisors (see below), whose sum is σ = 4099160520. Its totient is φ = 384380928.

The previous prime is 1327331293. The next prime is 1327331323. The reversal of 1327331304 is 4031337231.

1327331304 is a `hidden beast` number, since 1 + 3 + 27 + 331 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 772728804 + 554602500 = 27798^2 + 23550^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25797 + ... + 57620.

Almost surely, 21327331304 is an apocalyptic number.

It is an amenable number.

1327331304 is an abundant number, since it is smaller than the sum of its proper divisors (2771829216).

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

1327331304 is a wasteful number, since it uses less digits than its factorization.

1327331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83459 (or 83452 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 1327331304 is about 36432.5582961175. The cubic root of 1327331304 is about 1098.9884099442.

Adding to 1327331304 its reverse (4031337231), we get a palindrome (5358668535).

It can be divided in two parts, 1327331 and 304, that added together give a triangular number (1327635 = T1629).

The spelling of 1327331304 in words is "one billion, three hundred twenty-seven million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 83417 166834 250251 333668 500502 667336 750753 1001004 1084421 1418089 1501506 2002008 2168842 2836178 3003012 3253263 4254267 4337684 5672356 6006024 6506526 8508534 8675368 9759789 11344712 12762801 13013052 17017068 18435157 19519578 25525602 26026104 34034136 36870314 39039156 51051204 55305471 73740628 78078312 102102408 110610942 147481256 165916413 221221884 331832826 442443768 663665652 1327331304