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320016321 = 32672892
BaseRepresentation
bin10011000100110…
…000111111000001
3211022011111212100
4103010300333001
51123411010241
651431021013
710634044122
oct2304607701
9738144770
10320016321
11154705aa9
128b20a769
13513b8791
1430704049
151d1649b6
hex13130fc1

320016321 has 27 divisors (see below), whose sum is σ = 474579651. Its totient is φ = 207798624.

The previous prime is 320016299. The next prime is 320016329. The reversal of 320016321 is 123610023.

The square root of 320016321 is 17889.

It is a perfect power (a square), and thus also a powerful number.

320016321 is a `hidden beast` number, since 32 + 0 + 0 + 1 + 632 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61449921 + 258566400 = 7839^2 + 16080^2 .

It is not a de Polignac number, because 320016321 - 215 = 319983553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320016294 and 320016303.

It is not an unprimeable number, because it can be changed into a prime (320016329) 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 26 ways as a sum of consecutive naturals, for example, 3595645 + ... + 3595733.

Almost surely, 2320016321 is an apocalyptic number.

320016321 is the 17889-th square number.

320016321 is the 8945-th centered octagonal number.

It is an amenable number.

320016321 is a deficient number, since it is larger than the sum of its proper divisors (154563330).

320016321 is an frugal number, since it uses more digits than its factorization.

320016321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The cubic root of 320016321 is about 684.0020070219.

Adding to 320016321 its reverse (123610023), we get a palindrome (443626344).

The spelling of 320016321 in words is "three hundred twenty million, sixteen thousand, three hundred twenty-one".

Divisors: 1 3 9 67 89 201 267 603 801 4489 5963 7921 13467 17889 23763 40401 53667 71289 399521 530707 1198563 1592121 3595689 4776363 35557369 106672107 320016321