241368 has 32 divisors (see below), whose sum is σ = 615600. Its totient is φ = 78848.

The previous prime is 241363. The next prime is 241391. The reversal of 241368 is 863142.

It can be divided in two parts, 241 and 368, that multiplied together give a palindrome (88688).

It is a happy number.

It is a super-2 number, since 2×241368^{2} = 116517022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 241368.

It is not an unprimeable number, because it can be changed into a prime (241361) 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 7 ways as a sum of consecutive naturals, for example, 2080 + ... + 2192.

2^{241368} is an apocalyptic number.

It is an amenable number.

241368 is an abundant number, since it is smaller than the sum of its proper divisors (374232).

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

241368 is a wasteful number, since it uses less digits than its factorization.

241368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 241368 is about 491.2921737622. The cubic root of 241368 is about 62.2625013198.

The spelling of 241368 in words is "two hundred forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 89 113 178 226 267 339 356 452 534 678 712 904 1068 1356 2136 2712 10057 20114 30171 40228 60342 80456 120684 241368

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