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2434242096 = 24321113118213
BaseRepresentation
bin1001000100010111…
…1001011000110000
320021122110022101200
42101011321120300
514441131221341
61041314131200
7114215500506
oct22105713060
96248408350
102434242096
11103a080130
1257b280b00
132ca417750
14191414676
15e3a8bdb6
hex91179630

2434242096 has 120 divisors (see below), whose sum is σ = 8003560656. Its totient is φ = 680901120.

The previous prime is 2434242077. The next prime is 2434242101. The reversal of 2434242096 is 6902424342.

2434242096 is a `hidden beast` number, since 24 + 3 + 424 + 209 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2434242096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38515 + ... + 79698.

Almost surely, 22434242096 is an apocalyptic number.

2434242096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2434242096 is an abundant number, since it is smaller than the sum of its proper divisors (5569318560).

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

2434242096 is a wasteful number, since it uses less digits than its factorization.

2434242096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118251 (or 118242 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2434242096 is about 49338.0390368324. The cubic root of 2434242096 is about 1345.2032962927.

The spelling of 2434242096 in words is "two billion, four hundred thirty-four million, two hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 118213 236426 354639 472852 709278 945704 1063917 1300343 1418556 1536769 1891408 2127834 2600686 2837112 3073538 3901029 4255668 4610307 5201372 5674224 6147076 7802058 8511336 9220614 10402744 11703087 12294152 13830921 15604116 16904459 17022672 18441228 20805488 23406174 24588304 27661842 31208232 33808918 36882456 46812348 50713377 55323684 62416464 67617836 73764912 93624696 101426754 110647368 135235672 152140131 187249392 202853508 221294736 270471344 304280262 405707016 608560524 811414032 1217121048 2434242096