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12348352 = 26613163
BaseRepresentation
bin101111000110…
…101111000000
3212020100202101
4233012233000
511130121402
61120400144
7206650012
oct57065700
925210671
1012348352
116a74555
124176054
132734723
1418d61b2
15113db87
hexbc6bc0

12348352 has 28 divisors (see below), whose sum is σ = 24913336. Its totient is φ = 6071040.

The previous prime is 12348319. The next prime is 12348359. The reversal of 12348352 is 25384321.

12348352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12348352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12348359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2323 + ... + 5485.

It is an arithmetic number, because the mean of its divisors is an integer number (889762).

Almost surely, 212348352 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 12348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12456668).

12348352 is an abundant number, since it is smaller than the sum of its proper divisors (12564984).

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

12348352 is an equidigital number, since it uses as much as digits as its factorization.

12348352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3226 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 12348352 is about 3514.0221968565. The cubic root of 12348352 is about 231.1371036950.

The spelling of 12348352 in words is "twelve million, three hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3163 3904 6326 12652 25304 50608 101216 192943 202432 385886 771772 1543544 3087088 6174176 12348352