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320032025 = 52101312637
BaseRepresentation
bin10011000100110…
…100110100011001
3211022012022101222
4103010310310121
51123412011100
651431221425
710634140655
oct2304646431
9738168358
10320032025
11154716885
128b217875
13513c2981
1430709a65
151d169485
hex13134d19

320032025 has 12 divisors (see below), whose sum is σ = 397262892. Its totient is φ = 255752640.

The previous prime is 320032007. The next prime is 320032033. The reversal of 320032025 is 520230023.

It can be written as a sum of positive squares in 6 ways, for example, as 147792649 + 172239376 = 12157^2 + 13124^2 .

It is a de Polignac number, because none of the positive numbers 2k-320032025 is a prime.

It is a super-3 number, since 3×3200320253 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320031994 and 320032012.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19007 + ... + 31643.

It is an arithmetic number, because the mean of its divisors is an integer number (33105241).

Almost surely, 2320032025 is an apocalyptic number.

It is an amenable number.

320032025 is a deficient number, since it is larger than the sum of its proper divisors (77230867).

320032025 is a wasteful number, since it uses less digits than its factorization.

320032025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13660 (or 13655 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 320032025 is about 17889.4389235660. The cubic root of 320032025 is about 684.0131954011.

Adding to 320032025 its reverse (520230023), we get a palindrome (840262048).

The spelling of 320032025 in words is "three hundred twenty million, thirty-two thousand, twenty-five".

Divisors: 1 5 25 1013 5065 12637 25325 63185 315925 12801281 64006405 320032025