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12352257 = 34732089
BaseRepresentation
bin101111000111…
…101100000001
3212020120010000
4233013230001
511130233012
61120430213
7206664261
oct57075401
925216100
1012352257
116a77485
124178369
132736438
1418d77a1
15113eddc
hexbc7b01

12352257 has 20 divisors (see below), whose sum is σ = 18713860. Its totient is φ = 8118144.

The previous prime is 12352247. The next prime is 12352267. The reversal of 12352257 is 75225321.

12352257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12352247) and next prime (12352267).

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 3207681 = 3024^2 + 1791^2 .

It is not a de Polignac number, because 12352257 - 210 = 12351233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12352257.

It is not an unprimeable number, because it can be changed into a prime (12352247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4869 + ... + 6957.

It is an arithmetic number, because the mean of its divisors is an integer number (935693).

Almost surely, 212352257 is an apocalyptic number.

It is an amenable number.

12352257 is a deficient number, since it is larger than the sum of its proper divisors (6361603).

12352257 is an equidigital number, since it uses as much as digits as its factorization.

12352257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2165 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 12352257 is about 3514.5777840304. The cubic root of 12352257 is about 231.1614657924.

Adding to 12352257 its reverse (75225321), we get a palindrome (87577578).

The spelling of 12352257 in words is "twelve million, three hundred fifty-two thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 73 81 219 657 1971 2089 5913 6267 18801 56403 152497 169209 457491 1372473 4117419 12352257