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12341032 = 231131961
BaseRepresentation
bin101111000100…
…111100101000
3212012222201021
4233010330220
511124403112
61120302224
7206616454
oct57047450
925188637
1012341032
116a6a000
124171974
1327312b2
1418d3664
15113b907
hexbc4f28

12341032 has 64 divisors (see below), whose sum is σ = 27230400. Its totient is φ = 5227200.

The previous prime is 12341029. The next prime is 12341053. The reversal of 12341032 is 23014321.

It is a happy number.

12341032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12340997 and 12341015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202282 + ... + 202342.

It is an arithmetic number, because the mean of its divisors is an integer number (425475).

Almost surely, 212341032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12341032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615200).

12341032 is an abundant number, since it is smaller than the sum of its proper divisors (14889368).

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

12341032 is a wasteful number, since it uses less digits than its factorization.

12341032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 12341032 is about 3512.9805009422. The cubic root of 12341032 is about 231.0914226187.

Adding to 12341032 its reverse (23014321), we get a palindrome (35355353).

Subtracting 12341032 from its reverse (23014321), we obtain a square (10673289 = 32672).

The spelling of 12341032 in words is "twelve million, three hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 61 76 88 121 122 152 209 242 244 418 484 488 671 836 968 1159 1331 1342 1672 2299 2318 2662 2684 4598 4636 5324 5368 7381 9196 9272 10648 12749 14762 18392 25289 25498 29524 50578 50996 59048 81191 101156 101992 140239 162382 202312 280478 324764 560956 649528 1121912 1542629 3085258 6170516 12341032