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12417312 = 253129347
BaseRepresentation
bin101111010111…
…100100100000
3212100212100110
4233113210200
511134323222
61122051320
7210355035
oct57274440
925325313
1012417312
117011346
1241a9b40
132759c2b
14191338c
15115430c
hexbd7920

12417312 has 24 divisors (see below), whose sum is σ = 32595696. Its totient is φ = 4139072.

The previous prime is 12417271. The next prime is 12417313. The reversal of 12417312 is 21371421.

12417312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (12417313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64578 + ... + 64769.

It is an arithmetic number, because the mean of its divisors is an integer number (1358154).

Almost surely, 212417312 is an apocalyptic number.

12417312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12417312 is an abundant number, since it is smaller than the sum of its proper divisors (20178384).

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

12417312 is a wasteful number, since it uses less digits than its factorization.

12417312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129360 (or 129352 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 12417312 is about 3523.8206537791. The cubic root of 12417312 is about 231.5665708624.

Adding to 12417312 its reverse (21371421), we get a palindrome (33788733).

The spelling of 12417312 in words is "twelve million, four hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 129347 258694 388041 517388 776082 1034776 1552164 2069552 3104328 4139104 6208656 12417312