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311316066 = 23246137517
BaseRepresentation
bin10010100011100…
…100111001100010
3210200210111100200
4102203210321202
51114144103231
650520330030
710500100005
oct2243447142
9720714320
10311316066
1114a803406
1288313916
134c6606b9
142d4bb53c
151c4e6be6
hex128e4e62

311316066 has 24 divisors (see below), whose sum is σ = 675999324. Its totient is φ = 103544160.

The previous prime is 311316029. The next prime is 311316067. The reversal of 311316066 is 660613113.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 308740041 + 2576025 = 17571^2 + 1605^2 .

It is not an unprimeable number, because it can be changed into a prime (311316067) 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 11 ways as a sum of consecutive naturals, for example, 10461 + ... + 27056.

Almost surely, 2311316066 is an apocalyptic number.

311316066 is an abundant number, since it is smaller than the sum of its proper divisors (364683258).

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

311316066 is a wasteful number, since it uses less digits than its factorization.

311316066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37986 (or 37983 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 311316066 is about 17644.1510422009. The cubic root of 311316066 is about 677.7463352629.

Adding to 311316066 its reverse (660613113), we get a palindrome (971929179).

The spelling of 311316066 in words is "three hundred eleven million, three hundred sixteen thousand, sixty-six".

Divisors: 1 2 3 6 9 18 461 922 1383 2766 4149 8298 37517 75034 112551 225102 337653 675306 17295337 34590674 51886011 103772022 155658033 311316066