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12434256 = 2433107269
BaseRepresentation
bin101111011011…
…101101010000
3212101201121000
4233123231100
511140344011
61122302000
7210455322
oct57335520
925351530
1012434256
11702304a
1241b7900
132764863
141919612
151159356
hexbdbb50

12434256 has 80 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 4090752.

The previous prime is 12434249. The next prime is 12434269. The reversal of 12434256 is 65243421.

It is a super-2 number, since 2×124342562 = 309221444547072, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46090 + ... + 46358.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 212434256 is an apocalyptic number.

12434256 is a gapful number since it is divisible by the number (16) 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 12434256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

12434256 is an abundant number, since it is smaller than the sum of its proper divisors (23724144).

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

12434256 is a wasteful number, since it uses less digits than its factorization.

12434256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 12434256 is about 3526.2240427971. The cubic root of 12434256 is about 231.6718507774.

Adding to 12434256 its reverse (65243421), we get a palindrome (77677677).

The spelling of 12434256 in words is "twelve million, four hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 269 321 428 432 538 642 807 856 963 1076 1284 1614 1712 1926 2152 2421 2568 2889 3228 3852 4304 4842 5136 5778 6456 7263 7704 9684 11556 12912 14526 15408 19368 23112 28783 29052 38736 46224 57566 58104 86349 115132 116208 172698 230264 259047 345396 460528 518094 690792 777141 1036188 1381584 1554282 2072376 3108564 4144752 6217128 12434256