import sys
input = sys.stdin.readline

N=int(input())
mod=998244353

P=[i for i in range(N+1)]

for i in range(2,N+1):
    if P[i]!=1:
        for j in range(i+i,N+1,i):
            P[j]//=P[i]

#print(P)

MAX=max(P)

ANS=pow(MAX,mod-2,mod)
for i in range(1,N+1):
    ANS=ANS*P[i]%mod

print(ANS)