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242413353 = 327131723757
BaseRepresentation
bin11100111001011…
…10111100101001
3121220010212121100
432130232330221
5444024211403
640015432013
76002323320
oct1634567451
9556125540
10242413353
11114921816
1269225609
133b2b7470
14242a30b7
15164362a3
hexe72ef29

242413353 has 96 divisors (see below), whose sum is σ = 476775936. Its totient is φ = 114960384.

The previous prime is 242413321. The next prime is 242413393. The reversal of 242413353 is 353314242.

242413353 is a `hidden beast` number, since 242 + 413 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 242413353 - 25 = 242413321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242413313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319851 + ... + 320607.

It is an arithmetic number, because the mean of its divisors is an integer number (4966416).

Almost surely, 2242413353 is an apocalyptic number.

242413353 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

242413353 is a deficient number, since it is larger than the sum of its proper divisors (234362583).

242413353 is a wasteful number, since it uses less digits than its factorization.

242413353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 820 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 242413353 is about 15569.6291863358. The cubic root of 242413353 is about 623.5225715067.

Adding to 242413353 its reverse (353314242), we get a palindrome (595727595).

It can be divided in two parts, 242 and 413353, that added together give a triangular number (413595 = T909).

The spelling of 242413353 in words is "two hundred forty-two million, four hundred thirteen thousand, three hundred fifty-three".

Divisors: 1 3 7 9 13 17 21 23 39 51 63 69 91 117 119 153 161 207 221 273 299 357 391 483 663 757 819 897 1071 1173 1449 1547 1989 2093 2271 2691 2737 3519 4641 5083 5299 6279 6813 8211 9841 12869 13923 15249 15897 17411 18837 24633 29523 35581 38607 45747 47691 52233 68887 88569 90083 106743 115821 121877 156699 167297 206661 226343 270249 295987 320229 365631 501891 619983 679029 810747 887961 1096893 1171079 1505673 1584401 2037087 2071909 2663883 3513237 3847831 4753203 6215727 10539711 11543493 14259609 18647181 26934817 34630479 80804451 242413353