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12834252 = 22321767313
BaseRepresentation
bin110000111101…
…010111001100
3220011001021200
4300331113030
511241144002
61135025500
7214042434
oct60752714
926131250
1012834252
117276622
12436b290
132874942
1419c12c4
1511d7b1c
hexc3d5cc

12834252 has 72 divisors (see below), whose sum is σ = 34974576. Its totient is φ = 3953664.

The previous prime is 12834251. The next prime is 12834257. The reversal of 12834252 is 25243821.

It is not an unprimeable number, because it can be changed into a prime (12834251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40848 + ... + 41160.

It is an arithmetic number, because the mean of its divisors is an integer number (485758).

Almost surely, 212834252 is an apocalyptic number.

12834252 is a gapful number since it is divisible by the number (12) 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 12834252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487288).

12834252 is an abundant number, since it is smaller than the sum of its proper divisors (22140324).

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

12834252 is a wasteful number, since it uses less digits than its factorization.

12834252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12834252 is about 3582.4924284637. The cubic root of 12834252 is about 234.1298862515.

The spelling of 12834252 in words is "twelve million, eight hundred thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 313 402 603 612 626 804 939 1139 1206 1252 1878 2278 2412 2817 3417 3756 4556 5321 5634 6834 10251 10642 11268 13668 15963 20502 20971 21284 31926 41004 41942 47889 62913 63852 83884 95778 125826 188739 191556 251652 356507 377478 713014 754956 1069521 1426028 2139042 3208563 4278084 6417126 12834252