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320320404 = 223240122189
BaseRepresentation
bin10011000101111…
…011001110010100
3211022201221222200
4103011323032110
51124000223104
651441324500
710636451505
oct2305731624
9738657880
10320320404
111548a3508
128b336730
1351494001
1430782bac
151d1c4b39
hex1317b394

320320404 has 36 divisors (see below), whose sum is σ = 811754580. Its totient is φ = 106502400.

The previous prime is 320320387. The next prime is 320320513. The reversal of 320320404 is 404023023.

It can be written as a sum of positive squares in 2 ways, for example, as 281232900 + 39087504 = 16770^2 + 6252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3203204042 = 205210322437446432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3342 + ... + 25530.

Almost surely, 2320320404 is an apocalyptic number.

It is an amenable number.

320320404 is an abundant number, since it is smaller than the sum of its proper divisors (491434176).

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

320320404 is a wasteful number, since it uses less digits than its factorization.

320320404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22600 (or 22595 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 320320404 is about 17897.4971434556. The cubic root of 320320404 is about 684.2185871609.

Adding to 320320404 its reverse (404023023), we get a palindrome (724343427).

The spelling of 320320404 in words is "three hundred twenty million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1604 2406 3609 4812 7218 14436 22189 44378 66567 88756 133134 199701 266268 399402 798804 8897789 17795578 26693367 35591156 53386734 80080101 106773468 160160202 320320404