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12803346 = 234174649
BaseRepresentation
bin110000110101…
…110100010010
3220002110220000
4300311310102
511234201341
61134230430
7213553353
oct60656422
926073800
1012803346
117255386
124355416
13286385a
1419b3d2a
1511cd8b6
hexc35d12

12803346 has 40 divisors (see below), whose sum is σ = 30383100. Its totient is φ = 4015872.

The previous prime is 12803327. The next prime is 12803347. The reversal of 12803346 is 64330821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10208025 + 2595321 = 3195^2 + 1611^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12803347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 430 + ... + 5078.

Almost surely, 212803346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12803346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191550).

12803346 is an abundant number, since it is smaller than the sum of its proper divisors (17579754).

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

12803346 is a wasteful number, since it uses less digits than its factorization.

12803346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12803346 is about 3578.1763511599. The cubic root of 12803346 is about 233.9418001215.

The spelling of 12803346 in words is "twelve million, eight hundred three thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 4649 9298 13947 27894 41841 79033 83682 125523 158066 237099 251046 376569 474198 711297 753138 1422594 2133891 4267782 6401673 12803346