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12346668 = 223453719
BaseRepresentation
bin101111000110…
…010100101100
3212020021110000
4233012110230
511130043133
61120344300
7206642055
oct57062454
925207400
1012346668
116a73264
124175090
132733a29
1418d572c
15113d413
hexbc652c

12346668 has 60 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 4032288.

The previous prime is 12346661. The next prime is 12346679. The reversal of 12346668 is 86664321.

12346668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (12346661) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16813 + ... + 17531.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 212346668 is an apocalyptic number.

12346668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12346668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

12346668 is an abundant number, since it is smaller than the sum of its proper divisors (20584692).

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

12346668 is a wasteful number, since it uses less digits than its factorization.

12346668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 777 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 12346668 is about 3513.7825772236. The cubic root of 12346668 is about 231.1265961504.

The spelling of 12346668 in words is "twelve million, three hundred forty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 719 954 1431 1438 1908 2157 2862 2876 4293 4314 5724 6471 8586 8628 12942 17172 19413 25884 38107 38826 58239 76214 77652 114321 116478 152428 228642 232956 342963 457284 685926 1028889 1371852 2057778 3086667 4115556 6173334 12346668