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242314056 = 233217197969
BaseRepresentation
bin11100111000101…
…10101101001000
3121212221211101200
432130112231020
5444013022211
640013344200
76001430655
oct1634265510
9555854350
10242314056
11114864156
1269198060
133b2811ca
1424278c2c
1516416b56
hexe716b48

242314056 has 48 divisors (see below), whose sum is σ = 694874700. Its totient is φ = 76019712.

The previous prime is 242314043. The next prime is 242314063. The reversal of 242314056 is 650413242.

242314056 is a `hidden beast` number, since 24 + 231 + 405 + 6 = 666.

242314056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 236113956 + 6200100 = 15366^2 + 2490^2 .

It is a super-2 number, since 2×2423140562 = 117432203470342272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97761 + ... + 100208.

Almost surely, 2242314056 is an apocalyptic number.

It is an amenable number.

242314056 is an abundant number, since it is smaller than the sum of its proper divisors (452560644).

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

242314056 is a wasteful number, since it uses less digits than its factorization.

242314056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197998 (or 197991 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 242314056 is about 15566.4400554526. The cubic root of 242314056 is about 623.4374244144.

Adding to 242314056 its reverse (650413242), we get a palindrome (892727298).

The spelling of 242314056 in words is "two hundred forty-two million, three hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 197969 395938 593907 791876 1187814 1583752 1781721 2375628 3365473 3563442 4751256 6730946 7126884 10096419 13461892 14253768 20192838 26923784 30289257 40385676 60578514 80771352 121157028 242314056