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12352 = 26193
BaseRepresentation
bin11000001000000
3121221111
43001000
5343402
6133104
751004
oct30100
917844
1012352
11930a
127194
135812
144704
1539d7
hex3040

12352 has 14 divisors (see below), whose sum is σ = 24638. Its totient is φ = 6144.

The previous prime is 12347. The next prime is 12373. The reversal of 12352 is 25321.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 3136 = 96^2 + 56^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33 + ... + 160.

212352 is an apocalyptic number.

It is an amenable number.

12352 is a deficient number, since it is larger than the sum of its proper divisors (12286).

12352 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (12351) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (205).

12352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 60, while the sum is 13.

The square root of 12352 is about 111.1395519156. The cubic root of 12352 is about 23.1159862606.

Adding to 12352 its reverse (25321), we get a palindrome (37673).

It can be divided in two parts, 12 and 352, that multiplied together give a palindrome (4224).

The spelling of 12352 in words is "twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 193 386 772 1544 3088 6176 12352