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12434928 = 2431122141
BaseRepresentation
bin101111011011…
…110111110000
3212101202111220
4233123313300
511140404203
61122305040
7210460302
oct57336760
925352456
1012434928
117023600
1241b8180
132764c5c
141919972
151159653
hexbdbdf0

12434928 has 60 divisors (see below), whose sum is σ = 35325864. Its totient is φ = 3766400.

The previous prime is 12434921. The next prime is 12434941. The reversal of 12434928 is 82943421.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4738 + ... + 6878.

Almost surely, 212434928 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 12434928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662932).

12434928 is an abundant number, since it is smaller than the sum of its proper divisors (22890936).

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

12434928 is a wasteful number, since it uses less digits than its factorization.

12434928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2157 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12434928 is about 3526.3193275709. The cubic root of 12434928 is about 231.6760242124.

The spelling of 12434928 in words is "twelve million, four hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2141 2904 4282 5808 6423 8564 12846 17128 23551 25692 34256 47102 51384 70653 94204 102768 141306 188408 259061 282612 376816 518122 565224 777183 1036244 1130448 1554366 2072488 3108732 4144976 6217464 12434928