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242434584 = 23327481021
BaseRepresentation
bin11100111001101…
…00001000011000
3121220011221201200
432130310020120
5444030401314
640020114200
76002442240
oct1634641030
9556157650
10242434584
11114936767
1269235960
133b2c4022
14242aab20
151643c709
hexe734218

242434584 has 48 divisors (see below), whose sum is σ = 750394320. Its totient is φ = 69266880.

The previous prime is 242434583. The next prime is 242434589. The reversal of 242434584 is 485434242.

242434584 is a `hidden beast` number, since 2 + 42 + 4 + 34 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242434583) 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, 240007 + ... + 241014.

It is an arithmetic number, because the mean of its divisors is an integer number (15633215).

Almost surely, 2242434584 is an apocalyptic number.

242434584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242434584 is an abundant number, since it is smaller than the sum of its proper divisors (507959736).

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

242434584 is a wasteful number, since it uses less digits than its factorization.

242434584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481040 (or 481033 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 242434584 is about 15570.3109795534. The cubic root of 242434584 is about 623.5407740536.

The spelling of 242434584 in words is "two hundred forty-two million, four hundred thirty-four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 481021 962042 1443063 1924084 2886126 3367147 3848168 4329189 5772252 6734294 8658378 10101441 11544504 13468588 17316756 20202882 26937176 30304323 34633512 40405764 60608646 80811528 121217292 242434584