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242240355 = 3357318269
BaseRepresentation
bin11100111000001…
…00101101100011
3121212211002022000
432130010231203
5444003142410
640012015043
76001003050
oct1634045543
9555732260
10242240355
11114813845
1269161483
133b2567b6
142425a027
15163eedc0
hexe704b63

242240355 has 64 divisors (see below), whose sum is σ = 508108800. Its totient is φ = 107153280.

The previous prime is 242240279. The next prime is 242240357. The reversal of 242240355 is 553042242.

It is a happy number.

242240355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242240355 - 27 = 242240227 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242240357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25161 + ... + 33429.

It is an arithmetic number, because the mean of its divisors is an integer number (7939200).

Almost surely, 2242240355 is an apocalyptic number.

242240355 is an abundant number, since it is smaller than the sum of its proper divisors (265868445).

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

242240355 is a wasteful number, since it uses less digits than its factorization.

242240355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8321 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 242240355 is about 15564.0725711492. The cubic root of 242240355 is about 623.3742108290.

Adding to 242240355 its reverse (553042242), we get a palindrome (795282597).

The spelling of 242240355 in words is "two hundred forty-two million, two hundred forty thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 93 105 135 155 189 217 279 315 465 651 837 945 1085 1395 1953 3255 4185 5859 8269 9765 24807 29295 41345 57883 74421 124035 173649 223263 256339 289415 372105 520947 769017 868245 1116315 1281695 1562841 1794373 2307051 2604735 3845085 5383119 6921153 7814205 8971865 11535255 16149357 26915595 34605765 48448071 80746785 242240355