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12340432 = 241379751
BaseRepresentation
bin101111000100…
…110011010000
3212012221220001
4233010303100
511124343212
61120255344
7206614636
oct57046320
925187801
1012340432
116a69605
124171554
132730c40
1418d3356
15113b657
hexbc4cd0

12340432 has 40 divisors (see below), whose sum is σ = 26109440. Its totient is φ = 5616000.

The previous prime is 12340429. The next prime is 12340459. The reversal of 12340432 is 23404321.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16057 + ... + 16807.

It is an arithmetic number, because the mean of its divisors is an integer number (652736).

Almost surely, 212340432 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 12340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054720).

12340432 is an abundant number, since it is smaller than the sum of its proper divisors (13769008).

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

12340432 is a wasteful number, since it uses less digits than its factorization.

12340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 12340432 is about 3512.8951023337. The cubic root of 12340432 is about 231.0876774673.

Adding to 12340432 its reverse (23404321), we get a palindrome (35744753).

The spelling of 12340432 in words is "twelve million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 751 1027 1264 1502 2054 3004 4108 6008 8216 9763 12016 16432 19526 39052 59329 78104 118658 156208 237316 474632 771277 949264 1542554 3085108 6170216 12340432