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11343360364 = 2271791925931
BaseRepresentation
bin10101001000001110…
…11111000101101100
31002021112112102002221
422210013133011230
5141212400012424
65113331325124
7551045654320
oct124407370554
932245472087
1011343360364
1148a1038596
122246a507a4
1310ba0c766b
1479872d980
15465cb59e4
hex2a41df16c

11343360364 has 48 divisors (see below), whose sum is σ = 24048299520. Its totient is φ = 4570318080.

The previous prime is 11343360349. The next prime is 11343360377. The reversal of 11343360364 is 46306334311.

11343360364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424479 + ... + 450409.

It is an arithmetic number, because the mean of its divisors is an integer number (501006240).

Almost surely, 211343360364 is an apocalyptic number.

11343360364 is a gapful number since it is divisible by the number (14) 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 11343360364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12024149760).

11343360364 is an abundant number, since it is smaller than the sum of its proper divisors (12704939156).

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

11343360364 is a wasteful number, since it uses less digits than its factorization.

11343360364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26878 (or 26876 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 11343360364 its reverse (46306334311), we get a palindrome (57649694675).

The spelling of 11343360364 in words is "eleven billion, three hundred forty-three million, three hundred sixty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 919 1838 3676 6433 12866 15623 25732 25931 31246 51862 62492 103724 109361 181517 218722 363034 437444 440827 726068 881654 1763308 3085789 6171578 12343156 23830589 47661178 95322356 166814123 333628246 405120013 667256492 810240026 1620480052 2835840091 5671680182 11343360364