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311628093 = 3722119919
BaseRepresentation
bin10010100100110…
…001000100111101
3210201101100101020
4102210301010331
51114234044333
650531134353
710502536500
oct2244610475
9721340336
10311628093
1114a9a6887
12884443b9
134c73c72a
142d55d137
151c5593b3
hex1293113d

311628093 has 12 divisors (see below), whose sum is σ = 483341760. Its totient is φ = 178073112.

The previous prime is 311628067. The next prime is 311628133. The reversal of 311628093 is 390826113.

It is not a de Polignac number, because 311628093 - 29 = 311627581 is a prime.

It is a super-2 number, since 2×3116280932 = 194224136693633298, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311628013) 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, 1059813 + ... + 1060106.

It is an arithmetic number, because the mean of its divisors is an integer number (40278480).

Almost surely, 2311628093 is an apocalyptic number.

It is an amenable number.

311628093 is a deficient number, since it is larger than the sum of its proper divisors (171713667).

311628093 is a wasteful number, since it uses less digits than its factorization.

311628093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119936 (or 2119929 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 311628093 is about 17652.9910496777. The cubic root of 311628093 is about 677.9726910103.

The spelling of 311628093 in words is "three hundred eleven million, six hundred twenty-eight thousand, ninety-three".

Divisors: 1 3 7 21 49 147 2119919 6359757 14839433 44518299 103876031 311628093