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1364387814 = 23425732771
BaseRepresentation
bin101000101010010…
…1110011111100110
310112002100002020000
41101110232133212
510243240402224
6343215322130
745545051016
oct12124563746
93462302200
101364387814
11640185839
12320b20346
1318989018a
14cd2c1c46
157ebad0c9
hex5152e7e6

1364387814 has 40 divisors (see below), whose sum is σ = 3069228888. Its totient is φ = 453012480.

The previous prime is 1364387747. The next prime is 1364387821. The reversal of 1364387814 is 4187834631.

1364387814 is a `hidden beast` number, since 136 + 438 + 7 + 81 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1364387814.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 25249 + ... + 58019.

Almost surely, 21364387814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364387814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534614444).

1364387814 is an abundant number, since it is smaller than the sum of its proper divisors (1704841074).

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

1364387814 is a wasteful number, since it uses less digits than its factorization.

1364387814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33042 (or 33033 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1364387814 is about 36937.6205784834. The cubic root of 1364387814 is about 1109.1218913503.

The spelling of 1364387814 in words is "one billion, three hundred sixty-four million, three hundred eighty-seven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 257 514 771 1542 2313 4626 6939 13878 20817 32771 41634 65542 98313 196626 294939 589878 884817 1769634 2654451 5308902 8422147 16844294 25266441 50532882 75799323 151598646 227397969 454795938 682193907 1364387814