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320374336 = 263125209
BaseRepresentation
bin10011000110001…
…000011001000000
3211022211200222011
4103012020121000
51124003434321
651442422304
710640064652
oct2306103100
9738750864
10320374336
1115492aa87
128b361994
13514b2719
14307986d2
151d1d5ae1
hex13188640

320374336 has 42 divisors (see below), whose sum is σ = 657038310. Its totient is φ = 154990080.

The previous prime is 320374319. The next prime is 320374349. The reversal of 320374336 is 633473023.

It can be written as a sum of positive squares in only one way, i.e., 318836736 + 1537600 = 17856^2 + 1240^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 320374298 and 320374307.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58900 + ... + 64108.

Almost surely, 2320374336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328519155).

320374336 is an abundant number, since it is smaller than the sum of its proper divisors (336663974).

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

320374336 is an equidigital number, since it uses as much as digits as its factorization.

320374336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 31.

The square root of 320374336 is about 17899.0037711600. The cubic root of 320374336 is about 684.2569853872.

The spelling of 320374336 in words is "three hundred twenty million, three hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 5209 7688 10418 15376 20836 30752 41672 61504 83344 161479 166688 322958 333376 645916 1291832 2583664 5005849 5167328 10011698 10334656 20023396 40046792 80093584 160187168 320374336