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12323385 = 3251789181
BaseRepresentation
bin101111000000…
…101000111001
3212012002111200
4233000220321
511123322020
61120044413
7206514144
oct57005071
925162450
1012323385
116a57818
124163709
132726259
1418cb05b
151136590
hexbc0a39

12323385 has 48 divisors (see below), whose sum is σ = 22997520. Its totient is φ = 6082560.

The previous prime is 12323383. The next prime is 12323387. The reversal of 12323385 is 58332321.

12323385 = T358 + T359 + ... + T492.

12323385 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12323383) and next prime (12323387).

It can be written as a sum of positive squares in 8 ways, for example, as 2134521 + 10188864 = 1461^2 + 3192^2 .

It is not a de Polignac number, because 12323385 - 21 = 12323383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12323383) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67995 + ... + 68175.

It is an arithmetic number, because the mean of its divisors is an integer number (479115).

Almost surely, 212323385 is an apocalyptic number.

12323385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12323385 is a deficient number, since it is larger than the sum of its proper divisors (10674135).

12323385 is a wasteful number, since it uses less digits than its factorization.

12323385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 12323385 is about 3510.4679175289. The cubic root of 12323385 is about 230.9812207143.

The spelling of 12323385 in words is "twelve million, three hundred twenty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 89 153 181 255 267 445 543 765 801 905 1335 1513 1629 2715 3077 4005 4539 7565 8145 9231 13617 15385 16109 22695 27693 46155 48327 68085 80545 138465 144981 241635 273853 724905 821559 1369265 2464677 4107795 12323385