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442343244 = 223722212371
BaseRepresentation
bin11010010111011…
…001111101001100
31010211100100212010
4122113121331030
51401214440434
6111520541220
713650566310
oct3227317514
91124310763
10442343244
11207767032
12104181810
1370848885
1442a67b40
1528c799e9
hex1a5d9f4c

442343244 has 48 divisors (see below), whose sum is σ = 1180610816. Its totient is φ = 126273600.

The previous prime is 442343233. The next prime is 442343249.

442343244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (442343249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185379 + ... + 187749.

Almost surely, 2442343244 is an apocalyptic number.

It is an amenable number.

442343244 is an abundant number, since it is smaller than the sum of its proper divisors (738267572).

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

442343244 is a wasteful number, since it uses less digits than its factorization.

442343244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4604 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 442343244 is about 21031.9576834873. The cubic root of 442343244 is about 761.9382911016.

The spelling of 442343244 in words is "four hundred forty-two million, three hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2221 2371 4442 4742 6663 7113 8884 9484 13326 14226 15547 16597 26652 28452 31094 33194 46641 49791 62188 66388 93282 99582 186564 199164 5265991 10531982 15797973 21063964 31595946 36861937 63191892 73723874 110585811 147447748 221171622 442343244