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268436241 = 3374313381
BaseRepresentation
bin10000000000000…
…000001100010001
3200201002222022000
4100000000030101
51022204424431
642345304213
76436445643
oct2000001421
9621088260
10268436241
11128586137
1275a95069
13437c9118
1427918893
15188769e6
hex10000311

268436241 has 16 divisors (see below), whose sum is σ = 398248320. Its totient is φ = 178703280.

The previous prime is 268436219. The next prime is 268436249. The reversal of 268436241 is 142634862.

268436241 is a `hidden beast` number, since 26 + 8 + 4 + 3 + 624 + 1 = 666.

It is not a de Polignac number, because 268436241 - 26 = 268436177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 268436196 and 268436205.

It is not an unprimeable number, because it can be changed into a prime (268436249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13371 + ... + 26751.

It is an arithmetic number, because the mean of its divisors is an integer number (24890520).

Almost surely, 2268436241 is an apocalyptic number.

It is an amenable number.

268436241 is a deficient number, since it is larger than the sum of its proper divisors (129812079).

268436241 is a wasteful number, since it uses less digits than its factorization.

268436241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133 (or 14127 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 268436241 is about 16384.0239562813. The cubic root of 268436241 is about 645.0802063590.

The spelling of 268436241 in words is "two hundred sixty-eight million, four hundred thirty-six thousand, two hundred forty-one".

Divisors: 1 3 9 27 743 2229 6687 13381 20061 40143 120429 361287 9942083 29826249 89478747 268436241