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422434341 = 3274113173
BaseRepresentation
bin11001001011011…
…101011000100101
31002102212212222100
4121023131120211
51331120344331
6105530122313
713316430000
oct3113353045
91072785870
10422434341
111a74a919a
12b9580399
1369697a64
1440164537
1527145ae6
hex192dd625

422434341 has 60 divisors (see below), whose sum is σ = 722288268. Its totient is φ = 237871872.

The previous prime is 422434319. The next prime is 422434351. The reversal of 422434341 is 143434224.

It is a happy number.

422434341 is a `hidden beast` number, since 4 + 224 + 3 + 434 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175032900 + 247401441 = 13230^2 + 15729^2 .

It is not a de Polignac number, because 422434341 - 29 = 422433829 is a prime.

It is a super-2 number, since 2×4224343412 = 356901544912208562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422434301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2441731 + ... + 2441903.

Almost surely, 2422434341 is an apocalyptic number.

It is an amenable number.

422434341 is a deficient number, since it is larger than the sum of its proper divisors (299853927).

422434341 is a wasteful number, since it uses less digits than its factorization.

422434341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 296 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 422434341 is about 20553.2075598920. The cubic root of 422434341 is about 750.3313149523.

Adding to 422434341 its reverse (143434224), we get a palindrome (565868565).

The spelling of 422434341 in words is "four hundred twenty-two million, four hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 49 63 113 147 173 339 343 441 519 791 1017 1029 1211 1557 2373 2401 3087 3633 5537 7119 7203 8477 10899 16611 19549 21609 25431 38759 49833 58647 59339 76293 116277 136843 175941 178017 271313 348831 410529 415373 534051 813939 957901 1231587 1246119 2441817 2873703 3738357 6705307 8621109 20115921 46937149 60347763 140811447 422434341