Search a number
-
+
1311434355 = 357112349367
BaseRepresentation
bin100111000101010…
…1110011001110011
310101101200202201210
41032022232121303
510141211344410
6334044331203
744333002530
oct11612563163
93341622653
101311434355
116132a8050
12307243b03
1317b90c67a
14c6259d87
157a1ed220
hex4e2ae673

1311434355 has 64 divisors (see below), whose sum is σ = 2729852928. Its totient is φ = 521304960.

The previous prime is 1311434353. The next prime is 1311434363. The reversal of 1311434355 is 5534341131.

It is not a de Polignac number, because 1311434355 - 21 = 1311434353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311434353) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1882 + ... + 51248.

It is an arithmetic number, because the mean of its divisors is an integer number (42653952).

Almost surely, 21311434355 is an apocalyptic number.

1311434355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1311434355 is an abundant number, since it is smaller than the sum of its proper divisors (1418418573).

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

1311434355 is a wasteful number, since it uses less digits than its factorization.

1311434355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49416.

The product of its digits is 10800, while the sum is 30.

The square root of 1311434355 is about 36213.7315807140. The cubic root of 1311434355 is about 1094.5833864752.

Adding to 1311434355 its reverse (5534341131), we get a palindrome (6845775486).

The spelling of 1311434355 in words is "one billion, three hundred eleven million, four hundred thirty-four thousand, three hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 23 33 35 55 69 77 105 115 161 165 231 253 345 385 483 759 805 1155 1265 1771 2415 3795 5313 8855 26565 49367 148101 246835 345569 543037 740505 1036707 1135441 1629111 1727845 2715185 3406323 3801259 5183535 5677205 7948087 8145555 11403777 12489851 17031615 19006295 23844261 37469553 39740435 57018885 62449255 87428957 119221305 187347765 262286871 437144785 1311434355