#![allow(unused_imports, dead_code, unused_macros, unused_variables, non_snake_case, unused_parens)]
use std::cmp::{min,max,Ordering,Reverse};
use std::mem::swap;
use std::collections::{VecDeque,LinkedList,HashMap,BTreeMap,HashSet,BTreeSet,BinaryHeap};



fn solve() {
    input! {
        h: usize,
        w: usize,
        k: usize,
    }
	let cmb = ModCombination::new(h.max(w));

    let mut ans = 0;

	for i in 1..=h {
		if k % i != 0 {continue}
		let j = k / i;
		// if j == w{continue}
		ans = (ans + cmb.nCr(h, i) * cmb.nCr(w, j)) % MOD;
	}
	// if k % w == 0 {
	// 	let x = k / w;
	// 	ans = (ans + cmb.nCr(h, x)) % MOD;
	// }
	// if k % h == 0 {
	// 	let x = k / h;
	// 	ans = (ans + cmb.nCr(w, x)) % MOD;
	// }
    println!("{}", ans);
}

fn main() {
    std::thread::Builder::new()
        .stack_size(128 * 1024 * 1024)
        .spawn(|| solve()).unwrap()
        .join().unwrap();
}

type Int = i64;
const MOD:Int = 998244353;

const fn pow_mod(x: Int, mut n: Int, m: Int) -> Int {
	if m == 1 {
		return 0;
	}
	let mut r: u64 = 1;
	let mut y: u64 = x.rem_euclid(m) as u64;
	while n != 0 {
		if (n & 1) > 0 {
			r = (r * y) % (m as u64);
		}
		y = (y * y) % (m as u64);
		n >>= 1;
	}
	r as Int
}
pub struct ModCombination {
	fac: Vec<Int>,
	ifac: Vec<Int>,
}
impl ModCombination {
	pub fn new(size:usize) -> Self {
		let mut fac = vec![1; size+1];
		let mut f = 1;
		let mut i = 2;
		while i <= size {
			f = f * i as Int % MOD; 
			fac[i] = f;
			i+=1;
		}
		let mut ifac = vec![1; size+1];
		let mut f = pow_mod(fac[size], MOD-2, MOD);
		ifac[size] = f;
		let mut i = size;
		while i > 0 {
			f = f * i as Int % MOD; 
			i-=1;
			ifac[i] = f;
		}
		Self {fac, ifac}
	}
	#[inline]
	pub fn nCr(&self, n:usize, r:usize) -> Int {
		if n < r {
			return 0;
		}
		self.fac[n] * self.ifac[r] % MOD * self.ifac[n-r] % MOD
	}
	#[inline]
	pub fn nPr(&self, n:usize, r:usize) -> Int {
		if n < r {
			return 0;
		}
		self.fac[n] * self.ifac[n-r] % MOD
	}
	#[inline]
	pub fn nHr(&self, n:usize, r:usize) -> Int {
		if n==0 && r==0 {return 1;}
		self.nCr(n+r-1, r)
	}
}


mod _input {
    // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
    #[macro_export]
    macro_rules! input {
        (source = $s:expr, $($r:tt)*) => {
            let mut iter = $s.split_whitespace();
            let mut next = || { iter.next().unwrap() };
            input_inner!{next, $($r)*}
        };
        ($($r:tt)*) => {
            let stdin = std::io::stdin();
            let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));
            let mut next = move || -> String{
                bytes
                    .by_ref()
                    .map(|r|r.unwrap() as char)
                    .skip_while(|c|c.is_whitespace())
                    .take_while(|c|!c.is_whitespace())
                    .collect()
            };
            input_inner!{next, $($r)*}
        };
    }
    #[macro_export]
    macro_rules! input_inner {
        ($next:expr) => {};
        ($next:expr, ) => {};

        ($next:expr, $var:ident : $t:tt $($r:tt)*) => {
            let $var = read_value!($next, $t);
            input_inner!{$next $($r)*}
        };
    }
    #[macro_export]
    macro_rules! read_value {
        ($next:expr, ( $($t:tt),* )) => {
            ( $(read_value!($next, $t)),* )
        };

        ($next:expr, [ $t:tt ; $len:expr ]) => {
            (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
        };

        ($next:expr, chars) => {
            read_value!($next, String).chars().collect::<Vec<char>>()
        };

        ($next:expr, usize1) => {
            read_value!($next, usize) - 1
        };

        ($next:expr, $t:ty) => {
            $next().parse::<$t>().expect("Parse error")
        };
    }
}