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12340016 = 2413411447
BaseRepresentation
bin101111000100…
…101100110000
3212012221022122
4233010230300
511124340031
61120253412
7206613503
oct57045460
925187278
1012340016
116a69267
124171268
1327309b0
1418d313a
15113b47b
hexbc4b30

12340016 has 40 divisors (see below), whose sum is σ = 26394144. Its totient is φ = 5552640.

The previous prime is 12340007. The next prime is 12340033. The reversal of 12340016 is 61004321.

It is a junction number, because it is equal to n+sod(n) for n = 12339976 and 12340003.

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, 7805 + ... + 9251.

Almost surely, 212340016 is an apocalyptic number.

12340016 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 12340016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197072).

12340016 is an abundant number, since it is smaller than the sum of its proper divisors (14054128).

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

12340016 is a wasteful number, since it uses less digits than its factorization.

12340016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 12340016 is about 3512.8358914131. The cubic root of 12340016 is about 231.0850807577.

Adding to 12340016 its reverse (61004321), we get a palindrome (73344337).

The spelling of 12340016 in words is "twelve million, three hundred forty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 1447 2132 2894 4264 5788 8528 11576 18811 23152 37622 59327 75244 118654 150488 237308 300976 474616 771251 949232 1542502 3085004 6170008 12340016