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12383361 = 34172232
BaseRepresentation
bin101111001111…
…010010000001
3212022010210000
4233033102001
511132231421
61121230213
7210154044
oct57172201
925263700
1012383361
116a98891
124192369
132747643
141904c5b
151149226
hexbcf481

12383361 has 45 divisors (see below), whose sum is σ = 20542291. Its totient is φ = 7432128.

The previous prime is 12383347. The next prime is 12383369. The reversal of 12383361 is 16338321.

It is a happy number.

The square root of 12383361 is 3519.

It is a perfect power (a square), and thus also a powerful number.

12383361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9641025 + 2742336 = 3105^2 + 1656^2 .

It is not a de Polignac number, because 12383361 - 27 = 12383233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12383369) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 538396 + ... + 538418.

Almost surely, 212383361 is an apocalyptic number.

12383361 is the 3519-th square number.

12383361 is the 1760-th centered octagonal number.

It is an amenable number.

12383361 is a deficient number, since it is larger than the sum of its proper divisors (8158930).

12383361 is an equidigital number, since it uses as much as digits as its factorization.

12383361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 43 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The cubic root of 12383361 is about 231.3553310274.

The spelling of 12383361 in words is "twelve million, three hundred eighty-three thousand, three hundred sixty-one".

Divisors: 1 3 9 17 23 27 51 69 81 153 207 289 391 459 529 621 867 1173 1377 1587 1863 2601 3519 4761 6647 7803 8993 10557 14283 19941 23409 26979 31671 42849 59823 80937 152881 179469 242811 458643 538407 728433 1375929 4127787 12383361