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444077344 = 25113127967
BaseRepresentation
bin11010011110000…
…001010100100000
31010221121110121001
4122132001110200
51402140433334
6112022041344
714001411064
oct3236012440
91127543531
10444077344
11208740977
12104879254
1371004c79
1442d99aa4
1528ebd714
hex1a781520

444077344 has 48 divisors (see below), whose sum is σ = 889878528. Its totient is φ = 218115072.

The previous prime is 444077327. The next prime is 444077351. The reversal of 444077344 is 443770444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458749 + ... + 459715.

It is an arithmetic number, because the mean of its divisors is an integer number (18539136).

Almost surely, 2444077344 is an apocalyptic number.

It is an amenable number.

444077344 is an abundant number, since it is smaller than the sum of its proper divisors (445801184).

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

444077344 is a wasteful number, since it uses less digits than its factorization.

444077344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 37.

The square root of 444077344 is about 21073.1427176869. The cubic root of 444077344 is about 762.9326579394.

The spelling of 444077344 in words is "four hundred forty-four million, seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 113 127 226 254 452 508 904 967 1016 1808 1934 2032 3616 3868 4064 7736 14351 15472 28702 30944 57404 109271 114808 122809 218542 229616 245618 437084 459232 491236 874168 982472 1748336 1964944 3496672 3929888 13877417 27754834 55509668 111019336 222038672 444077344