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444198384 = 24337146891
BaseRepresentation
bin11010011110011…
…110110111110000
31010221211121122000
4122132132313300
51402203322014
6112024414000
714002424010
oct3236366760
91127747560
10444198384
11208813903
12104917300
13710480a6
1442dcbc40
1528ee4509
hex1a79edf0

444198384 has 80 divisors (see below), whose sum is σ = 1457168640. Its totient is φ = 126912960.

The previous prime is 444198343. The next prime is 444198407. The reversal of 444198384 is 483891444.

It is a super-2 number, since 2×4441983842 = 394624408696422912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70422 + ... + 76469.

It is an arithmetic number, because the mean of its divisors is an integer number (18214608).

Almost surely, 2444198384 is an apocalyptic number.

It is an amenable number.

444198384 is an abundant number, since it is smaller than the sum of its proper divisors (1012970256).

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

444198384 is a wasteful number, since it uses less digits than its factorization.

444198384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146915 (or 146903 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 444198384 is about 21076.0144239844. The cubic root of 444198384 is about 763.0019679229.

The spelling of 444198384 in words is "four hundred forty-four million, one hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 146891 293782 440673 587564 881346 1028237 1175128 1322019 1762692 2056474 2350256 2644038 3084711 3525384 3966057 4112948 5288076 6169422 7050768 7932114 8225896 9254133 10576152 12338844 15864228 16451792 18508266 21152304 24677688 27762399 31728456 37016532 49355376 55524798 63456912 74033064 111049596 148066128 222099192 444198384