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12352014 = 234194013
BaseRepresentation
bin101111000111…
…101000001110
3212020112210000
4233013220032
511130231024
61120425130
7206663463
oct57075016
925215700
1012352014
116a77284
1241781a6
1327362ac
1418d766a
15113ecc9
hexbc7a0e

12352014 has 40 divisors (see below), whose sum is σ = 29141640. Its totient is φ = 3899664.

The previous prime is 12352009. The next prime is 12352019. The reversal of 12352014 is 41025321.

It is an interprime number because it is at equal distance from previous prime (12352009) and next prime (12352019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12352019) 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 19 ways as a sum of consecutive naturals, for example, 1072 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (728541).

Almost surely, 212352014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12352014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570820).

12352014 is an abundant number, since it is smaller than the sum of its proper divisors (16789626).

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

12352014 is a wasteful number, since it uses less digits than its factorization.

12352014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12352014 is about 3514.5432135628. The cubic root of 12352014 is about 231.1599499398.

Adding to 12352014 its reverse (41025321), we get a palindrome (53377335).

It can be divided in two parts, 1235 and 2014, that added together give a square (3249 = 572).

The spelling of 12352014 in words is "twelve million, three hundred fifty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 4013 8026 12039 24078 36117 72234 76247 108351 152494 216702 228741 325053 457482 650106 686223 1372446 2058669 4117338 6176007 12352014