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12306319 = 19787823
BaseRepresentation
bin101110111100…
…011110001111
3212011020002121
4232330132033
511122300234
61115433411
7206413324
oct56743617
925136077
1012306319
116a45a13
124155867
13271b55c
1418c4b4b
1511314b4
hexbbc78f

12306319 has 8 divisors (see below), whose sum is σ = 12986240. Its totient is φ = 11629656.

The previous prime is 12306313. The next prime is 12306331. The reversal of 12306319 is 91360321.

12306319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12306319 - 213 = 12298127 is a prime.

It is a super-2 number, since 2×123063192 = 302890974659522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12306293 and 12306302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12306313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14542 + ... + 15364.

It is an arithmetic number, because the mean of its divisors is an integer number (1623280).

Almost surely, 212306319 is an apocalyptic number.

12306319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12306319 is a deficient number, since it is larger than the sum of its proper divisors (679921).

12306319 is an equidigital number, since it uses as much as digits as its factorization.

12306319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 12306319 is about 3508.0363453077. The cubic root of 12306319 is about 230.8745469239.

The spelling of 12306319 in words is "twelve million, three hundred six thousand, three hundred nineteen".

Divisors: 1 19 787 823 14953 15637 647701 12306319