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442380204 = 22347195053
BaseRepresentation
bin11010010111100…
…010111110101100
31010211102020120000
4122113202332230
51401222131304
6111521424300
713651112130
oct3227427654
91124366500
10442380204
11207791882
1210419b090
137085c646
1442a773c0
1528c85939
hex1a5e2fac

442380204 has 60 divisors (see below), whose sum is σ = 1321685904. Its totient is φ = 126393696.

The previous prime is 442380193. The next prime is 442380209. The reversal of 442380204 is 402083244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (442380209) 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 19 ways as a sum of consecutive naturals, for example, 95259 + ... + 99794.

Almost surely, 2442380204 is an apocalyptic number.

It is an amenable number.

442380204 is an abundant number, since it is smaller than the sum of its proper divisors (879305700).

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

442380204 is a wasteful number, since it uses less digits than its factorization.

442380204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195076 (or 195065 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 442380204 is about 21032.8363279896. The cubic root of 442380204 is about 761.9595117678.

The spelling of 442380204 in words is "four hundred forty-two million, three hundred eighty thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 195053 390106 585159 780212 1170318 1365371 1755477 2340636 2730742 3510954 4096113 5266431 5461484 7021908 8192226 10532862 12288339 15799293 16384452 21065724 24576678 31598586 36865017 49153356 63197172 73730034 110595051 147460068 221190102 442380204