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442424304 = 24327438913
BaseRepresentation
bin11010010111101…
…101101111110000
31010211111111001100
4122113231233300
51401230034204
6111522404400
713651354530
oct3227555760
91124444040
10442424304
11207811a23
12104200700
137087673a
1442a894c0
1528c93a39
hex1a5edbf0

442424304 has 60 divisors (see below), whose sum is σ = 1415058736. Its totient is φ = 126406656.

The previous prime is 442424299. The next prime is 442424309. The reversal of 442424304 is 403424244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442424299) and next prime (442424309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442424309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218449 + ... + 220464.

Almost surely, 2442424304 is an apocalyptic number.

It is an amenable number.

442424304 is an abundant number, since it is smaller than the sum of its proper divisors (972634432).

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

442424304 is a wasteful number, since it uses less digits than its factorization.

442424304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438934 (or 438925 counting only the distinct ones).

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

The square root of 442424304 is about 21033.8846626105. The cubic root of 442424304 is about 761.9848303343.

Adding to 442424304 its reverse (403424244), we get a palindrome (845848548).

The spelling of 442424304 in words is "four hundred forty-two million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 438913 877826 1316739 1755652 2633478 3072391 3511304 3950217 5266956 6144782 7022608 7900434 9217173 10533912 12289564 15800868 18434346 21067824 24579128 27651519 31601736 36868692 49158256 55303038 63203472 73737384 110606076 147474768 221212152 442424304