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242351424 = 2632760107
BaseRepresentation
bin11100111000111…
…11110101000000
3121220000201122200
432130133311000
5444020221144
640014233200
76001644630
oct1634376500
9556021580
10242351424
1111488a237
12691b5800
133b295213
14242886c0
1516422c69
hexe71fd40

242351424 has 84 divisors (see below), whose sum is σ = 793906464. Its totient is φ = 69242112.

The previous prime is 242351423. The next prime is 242351453. The reversal of 242351424 is 424153242.

242351424 is a `hidden beast` number, since 2 + 4 + 235 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242351423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26022 + ... + 34085.

Almost surely, 2242351424 is an apocalyptic number.

242351424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242351424 is an abundant number, since it is smaller than the sum of its proper divisors (551555040).

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

242351424 is a wasteful number, since it uses less digits than its factorization.

242351424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60132 (or 60119 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 242351424 is about 15567.6402836140. The cubic root of 242351424 is about 623.4694701716.

The spelling of 242351424 in words is "two hundred forty-two million, three hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 60107 120214 180321 240428 360642 420749 480856 540963 721284 841498 961712 1081926 1262247 1442568 1682996 1923424 2163852 2524494 2885136 3365992 3786741 3846848 4327704 5048988 5770272 6731984 7573482 8655408 10097976 11540544 13463968 15146964 17310816 20195952 26927936 30293928 34621632 40391904 60587856 80783808 121175712 242351424