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2304242442 = 2321923457641
BaseRepresentation
bin1000100101010111…
…1111001100001010
312221120211122101200
42021111333030022
514204341224232
61020351525030
7111046510665
oct21125771412
95846748350
102304242442
11a827594a7
12543829776
132a94cc188
1417c0546dc
15d745d77c
hex8957f30a

2304242442 has 96 divisors (see below), whose sum is σ = 5504353920. Its totient is φ = 693411840.

The previous prime is 2304242429. The next prime is 2304242443. The reversal of 2304242442 is 2442424032.

2304242442 is a `hidden beast` number, since 230 + 4 + 2 + 424 + 4 + 2 = 666.

2304242442 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2304242443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3594442 + ... + 3595082.

It is an arithmetic number, because the mean of its divisors is an integer number (57337020).

Almost surely, 22304242442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304242442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752176960).

2304242442 is an abundant number, since it is smaller than the sum of its proper divisors (3200111478).

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

2304242442 is a wasteful number, since it uses less digits than its factorization.

2304242442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2304242442 is about 48002.5253710677. The cubic root of 2304242442 is about 1320.8172246602.

Adding to 2304242442 its reverse (2442424032), we get a palindrome (4746666474).

The spelling of 2304242442 in words is "two billion, three hundred four million, two hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 457 641 874 914 1282 1311 1371 1923 2622 2742 3846 3933 4113 5769 7866 8226 8683 10511 11538 12179 14743 17366 21022 24358 26049 29486 31533 36537 44229 52098 63066 73074 78147 88458 94599 109611 132687 156294 189198 199709 219222 265374 280117 292937 399418 560234 585874 599127 840351 878811 1198254 1680702 1757622 1797381 2521053 2636433 3594762 5042106 5272866 5565803 6737551 11131606 13475102 16697409 20212653 33394818 40425306 50092227 60637959 100184454 121275918 128013469 256026938 384040407 768080814 1152121221 2304242442