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268323445 = 51331375961
BaseRepresentation
bin11111111111001…
…00101001110101
3200200220020120101
433333210221311
51022142322240
642343034101
76435466045
oct1777445165
9620806511
10268323445
11128509415
1275a3b931
1343789990
14278c9725
151885339a
hexffe4a75

268323445 has 64 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 180403200.

The previous prime is 268323443. The next prime is 268323449. The reversal of 268323445 is 544323862.

It is not a de Polignac number, because 268323445 - 21 = 268323443 is a prime.

It is a super-2 number, since 2×2683234452 = 143994942273336050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268323443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4398715 + ... + 4398775.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2268323445 is an apocalyptic number.

It is an amenable number.

268323445 is a deficient number, since it is larger than the sum of its proper divisors (111652235).

268323445 is a wasteful number, since it uses less digits than its factorization.

268323445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its digits is 138240, while the sum is 37.

The square root of 268323445 is about 16380.5813388903. The cubic root of 268323445 is about 644.9898401941.

The spelling of 268323445 in words is "two hundred sixty-eight million, three hundred twenty-three thousand, four hundred forty-five".

Divisors: 1 5 13 31 37 59 61 65 155 185 295 305 403 481 767 793 1147 1829 1891 2015 2183 2257 2405 3599 3835 3965 5735 9145 9455 10915 11285 14911 17995 23777 24583 28379 29341 46787 67673 69967 74555 111569 118885 122915 133163 141895 146705 233935 338365 349835 557845 665815 879749 909571 1450397 1731119 4128053 4398745 4547855 7251985 8655595 20640265 53664689 268323445