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12667434 = 2313232307
BaseRepresentation
bin110000010100…
…101000101010
3212211120110020
4300110220222
511220324214
61131301310
7212446203
oct60245052
925746406
1012667434
11717225a
1242aa836
132816a30
14197a5aa
1511a34a9
hexc14a2a

12667434 has 48 divisors (see below), whose sum is σ = 28614432. Its totient is φ = 3716064.

The previous prime is 12667427. The next prime is 12667439. The reversal of 12667434 is 43476621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12667395 and 12667404.

It is not an unprimeable number, because it can be changed into a prime (12667439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41109 + ... + 41415.

It is an arithmetic number, because the mean of its divisors is an integer number (596134).

Almost surely, 212667434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12667434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307216).

12667434 is an abundant number, since it is smaller than the sum of its proper divisors (15946998).

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

12667434 is a wasteful number, since it uses less digits than its factorization.

12667434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 12667434 is about 3559.1338834048. The cubic root of 12667434 is about 233.1110622569. Note that the first 3 decimals are identical.

The spelling of 12667434 in words is "twelve million, six hundred sixty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 307 529 598 614 897 921 1058 1587 1794 1842 3174 3991 6877 7061 7982 11973 13754 14122 20631 21183 23946 41262 42366 91793 162403 183586 275379 324806 487209 550758 974418 2111239 4222478 6333717 12667434