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12243264 = 2631121731
BaseRepresentation
bin101110101101…
…000101000000
3212001000121020
4232231011000
511113241024
61114225440
7206031435
oct56550500
925030536
1012243264
116a02600
124125280
1326c8947
1418a9b8c
15111c979
hexbad140

12243264 has 168 divisors, whose sum is σ = 38916864. Its totient is φ = 3379200.

The previous prime is 12243251. The next prime is 12243289. The reversal of 12243264 is 46234221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2304) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394929 + ... + 394959.

It is an arithmetic number, because the mean of its divisors is an integer number (231648).

Almost surely, 212243264 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 12243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

12243264 is an abundant number, since it is smaller than the sum of its proper divisors (26673600).

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

12243264 is a wasteful number, since it uses less digits than its factorization.

12243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 12243264 is about 3499.0375819645. The cubic root of 12243264 is about 230.4795539323.

Adding to 12243264 its reverse (46234221), we get a palindrome (58477485).

The spelling of 12243264 in words is "twelve million, two hundred forty-three thousand, two hundred sixty-four".