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242674705 = 5721325861
BaseRepresentation
bin11100111011011…
…10110000010001
3121220122011010001
432131232300101
5444111042310
640025210001
76004462300
oct1635566021
9556564101
10242674705
11114a90109
1269330901
133b379400
1424330437
151648893a
hexe76ec11

242674705 has 36 divisors (see below), whose sum is σ = 366879132. Its totient is φ = 153578880.

The previous prime is 242674699. The next prime is 242674717. The reversal of 242674705 is 507476242.

It can be written as a sum of positive squares in 6 ways, for example, as 52896529 + 189778176 = 7273^2 + 13776^2 .

It is not a de Polignac number, because 242674705 - 25 = 242674673 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38475 + ... + 44335.

It is an arithmetic number, because the mean of its divisors is an integer number (10191087).

Almost surely, 2242674705 is an apocalyptic number.

It is an amenable number.

242674705 is a deficient number, since it is larger than the sum of its proper divisors (124204427).

242674705 is a wasteful number, since it uses less digits than its factorization.

242674705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 242674705 is about 15578.0199319426. The cubic root of 242674705 is about 623.7465695398.

Subtracting from 242674705 its product of nonzero digits (94080), we obtain a square (242580625 = 155752).

The spelling of 242674705 in words is "two hundred forty-two million, six hundred seventy-four thousand, seven hundred five".

Divisors: 1 5 7 13 35 49 65 91 169 245 455 637 845 1183 3185 5861 5915 8281 29305 41027 41405 76193 205135 287189 380965 533351 990509 1435945 2666755 3733457 4952545 6933563 18667285 34667815 48534941 242674705