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1328362112 = 27711134777
BaseRepresentation
bin100111100101101…
…0011001010000000
310102120112210020202
41033023103022000
510210030041422
6335451224332
744626614560
oct11713231200
93376483222
101328362112
1162190a130
12310a480a8
131822885ac
14c85c4da0
157b943b92
hex4f2d3280

1328362112 has 64 divisors (see below), whose sum is σ = 3299365440. Its totient is φ = 517539840.

The previous prime is 1328362111. The next prime is 1328362127. The reversal of 1328362112 is 2112638231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1328362111) 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 7 ways as a sum of consecutive naturals, for example, 57533 + ... + 77244.

It is an arithmetic number, because the mean of its divisors is an integer number (51552585).

Almost surely, 21328362112 is an apocalyptic number.

It is an amenable number.

1328362112 is an abundant number, since it is smaller than the sum of its proper divisors (1971003328).

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

1328362112 is a wasteful number, since it uses less digits than its factorization.

1328362112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134809 (or 134797 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 1328362112 is about 36446.7023474004. The cubic root of 1328362112 is about 1099.2728284892.

The spelling of 1328362112 in words is "one billion, three hundred twenty-eight million, three hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 134777 269554 539108 943439 1078216 1482547 1886878 2156432 2965094 3773756 4312864 5930188 7547512 8625728 10377829 11860376 15095024 17251456 20755658 23720752 30190048 41511316 47441504 60380096 83022632 94883008 120760192 166045264 189766016 332090528 664181056 1328362112