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320505320 = 23510179333
BaseRepresentation
bin10011000110101…
…000010111101000
3211100002100122102
4103012220113220
51124022132240
651445312532
710641151562
oct2306502750
9740070572
10320505320
11154a0a433
128b405748
135152a225
14307d0332
151d20e815
hex131a85e8

320505320 has 32 divisors (see below), whose sum is σ = 728286120. Its totient is φ = 126931200.

The previous prime is 320505313. The next prime is 320505329. The reversal of 320505320 is 23505023.

It can be written as a sum of positive squares in 4 ways, for example, as 308986084 + 11519236 = 17578^2 + 3394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320505292 and 320505301.

It is not an unprimeable number, because it can be changed into a prime (320505329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35627 + ... + 43706.

Almost surely, 2320505320 is an apocalyptic number.

It is an amenable number.

320505320 is an abundant number, since it is smaller than the sum of its proper divisors (407780800).

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

320505320 is a wasteful number, since it uses less digits than its factorization.

320505320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79445 (or 79441 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 320505320 is about 17902.6623718373. The cubic root of 320505320 is about 684.3502247587.

The spelling of 320505320 in words is "three hundred twenty million, five hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 79333 158666 317332 396665 634664 793330 1586660 3173320 8012633 16025266 32050532 40063165 64101064 80126330 160252660 320505320