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12348928 = 2989271
BaseRepresentation
bin101111000110…
…111000000000
3212020101112201
4233012320000
511130131203
61120402544
7206651464
oct57067000
925211481
1012348928
116a74a29
124176454
132734a77
1418d64a4
15113de1d
hexbc6e00

12348928 has 40 divisors (see below), whose sum is σ = 25043040. Its totient is φ = 6082560.

The previous prime is 12348923. The next prime is 12348961. The reversal of 12348928 is 82984321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12348923) 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, 45433 + ... + 45703.

It is an arithmetic number, because the mean of its divisors is an integer number (626076).

Almost surely, 212348928 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 12348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521520).

12348928 is an abundant number, since it is smaller than the sum of its proper divisors (12694112).

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

12348928 is an frugal number, since it uses more digits than its factorization.

12348928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 12348928 is about 3514.1041532658. The cubic root of 12348928 is about 231.1406975053.

The spelling of 12348928 in words is "twelve million, three hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 271 356 512 542 712 1084 1424 2168 2848 4336 5696 8672 11392 17344 22784 24119 34688 45568 48238 69376 96476 138752 192952 385904 771808 1543616 3087232 6174464 12348928