#include<bits/stdc++.h>
#if __has_include(<atcoder/all>)
#include<atcoder/modint>
#endif
using namespace std;
#define LL(...) ll __VA_ARGS__;lin(__VA_ARGS__)
#define RDVL(T,n,...) vec<T>__VA_ARGS__;fe(refs(__VA_ARGS__),e)e.get().resizes(n);lin(__VA_ARGS__)
#define VL(n,...) RDVL(ll,n,__VA_ARGS__)
#define fo(i,...) for(auto[i,i##stop,i##step]=for_range<ll>(0,__VA_ARGS__);i<i##stop;i+=i##step)
#define fe(a,e,...) for(auto&&__VA_OPT__([)e __VA_OPT__(,__VA_ARGS__]):a)
#define defpp template<ostream&o=cout>void pp(const auto&...a){[[maybe_unused]]const char*c="";((o<<c<<a,c=" "),...);o<<'\n';}void epp(const auto&...a){pp<cerr>(a...);}
#define entry defpp void main();void main2();}int main(){my::io();my::main();}namespace my{
#define use_ml998244353 using ml=atcoder::modint998244353;
namespace my{
auto&operator<<(ostream&o,const atcoder::modint998244353&x){return o<<(int)x.val();}
void io(){cin.tie(nullptr)->sync_with_stdio(0);cout<<fixed<<setprecision(15);}
using ll=int;
constexpr auto refs(auto&...a){return array{ref(a)...};}
template<class T>constexpr auto for_range(T s,T b){T a=0;if(s)swap(a,b);return array{a-s,b,1-s*2};}
template<class T>constexpr auto for_range(T s,T a,T b,T c=1){return array{a-s,b,(1-s*2)*c};}
void lin(auto&...a){(cin>>...>>a);}
constexpr ll powm1(ll n){return 1-2*(n&1);}
auto max(auto...a){return max(initializer_list<common_type_t<decltype(a)...>>{a...});}
template<class A,class B=A>struct pair{
  A a;B b;
  pair()=default;
  pair(A aa,B bb):a(aa),b(bb){}
  auto operator<=>(const pair&)const=default;
};
template<class...A>using pack_back_t=tuple_element_t<sizeof...(A)-1,tuple<A...>>;
}
namespace my{
template<class V>concept vectorial=is_base_of_v<vector<typename remove_cvref_t<V>::value_type>,remove_cvref_t<V>>;
template<class V>istream&operator>>(istream&i,vector<V>&v){fe(v,e)i>>e;return i;}
template<class V>constexpr int depth=0;
template<vectorial V>constexpr int depth<V> =depth<typename V::value_type>+1;
template<class T>struct core_t_helper{using type=T;};
template<class T>using core_t=core_t_helper<T>::type;
template<class V>struct vec;
template<int D,class T>struct hvec_helper{using type=vec<typename hvec_helper<D-1,T>::type>;};
template<class T>struct hvec_helper<0,T>{using type=T;};
template<int D,class T>using hvec=hvec_helper<D,T>::type;
template<class V>struct vec:vector<V>{
  static constexpr int D=depth<vec<V>>;
  using C=core_t<V>;
  using vector<V>::vector;
  void resizes(const auto&...a){if constexpr(sizeof...(a)==D)*this=make(a...,C{});else{ }}
  static auto make(ll n,const auto&...a){
    if constexpr(sizeof...(a)==1)return vec<C>(n,array{a...}[0]);
    else { }
  }
  ll size()const{return vector<V>::size();}
  auto fold(const auto&f)const{
    pair<C,bool>r{};
    fe(*this,e){
      if constexpr(!vectorial<V>){
        if(r.b)f(r.a,e);
        else r={e,1};
      }else { }

    }
    return r;
  }
  auto sum()const{return fold([](auto&a,const auto&b){a+=b;}).a;}
  auto max()const{return fold([](auto&a,auto b){if(a<b)a=b;}).a;}
  auto min()const{return fold([](auto&a,auto b){if(b<a)a=b;}).a;}
  vec zeta()const{vec v=*this;if constexpr(vectorial<V>){ }fo(i,v.size()-1)v[i+1]+=v[i];return v;}
  auto count_enumerate(C M=-1)const{
    assert(min()>=0);
    if(M==-1)M=max();
    vec<C>res(M+1);
    auto f=[&]<class U>(auto&f,const vec<U>&v){fe(v,e)if constexpr(vectorial<U>){ }else res[e]++;};
    f(f,*this);
    return res;
  }
};
template<class...A>requires(sizeof...(A)>=2)vec(const A&...a)->vec<hvec<sizeof...(A)-2,pack_back_t<A...>>>;
}
namespace my{
template<class T>T inv(ll n){static vec<T>v{0,1};if(ll m=v.size();m<=n){v.resize(n+1);fo(i,m,n+1)v[i]=-v[T::mod()%i]*(T::mod()/i);}return v[n];}
}
namespace my{
template<class T>struct formal_power_series:vec<T>{
  using vec<T>::vec;
};
template<class T>using fps=formal_power_series<T>;
}
namespace my{entry
void main(){
  LL(N);
  VL(N,a);
  ll P=999630629;
  ll S=a.sum();
  ll M=max(S-P+1,1);

  auto c=a.count_enumerate();

  use_ml998244353
  ml ans=ml(2).pow(N-1)*S;

  fps<ml>f(M);
  fo(j,1,M){
    fo(n,1,(M-1)/j+1){
      f[j*n]+=powm1(n)*inv<ml>(n);
    }
  }
  pp(ans-P*f.zeta()[M-1]);
}}