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442564434 = 2321317111253
BaseRepresentation
bin11010011000001…
…111111101010010
31010211202121021100
4122120033331102
51401244030214
6111525405230
713652510214
oct3230177522
91124677240
10442564434
112078a8234
12104269816
13708c5460
1442ac45b4
1528cc0309
hex1a60ff52

442564434 has 48 divisors (see below), whose sum is σ = 1093404312. Its totient is φ = 128162304.

The previous prime is 442564429. The next prime is 442564439. The reversal of 442564434 is 434465244.

442564434 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 644 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (442564429) and next prime (442564439).

It can be written as a sum of positive squares in 4 ways, for example, as 401000625 + 41563809 = 20025^2 + 6447^2 .

It is not an unprimeable number, because it can be changed into a prime (442564439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51649 + ... + 59604.

Almost surely, 2442564434 is an apocalyptic number.

442564434 is an abundant number, since it is smaller than the sum of its proper divisors (650839878).

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

442564434 is a wasteful number, since it uses less digits than its factorization.

442564434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111291 (or 111288 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 442564434 is about 21037.2154526211. The cubic root of 442564434 is about 762.0652702062.

The spelling of 442564434 in words is "four hundred forty-two million, five hundred sixty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 111253 222506 333759 667518 1001277 1446289 1891301 2002554 2892578 3782602 4338867 5673903 8677734 11347806 13016601 17021709 24586913 26033202 34043418 49173826 73760739 147521478 221282217 442564434