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444146340 = 223511672949
BaseRepresentation
bin11010011110010…
…010001010100100
31010221201222020110
4122132102022210
51402200140330
6112023333020
714002116201
oct3236221244
91127658213
10444146340
112087887a0
121048b1170
137102a4b1
1442db6ca8
1528ed3db0
hex1a7922a4

444146340 has 48 divisors (see below), whose sum is σ = 1356667200. Its totient is φ = 107671680.

The previous prime is 444146323. The next prime is 444146347. The reversal of 444146340 is 43641444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 444146298 and 444146307.

It is not an unprimeable number, because it can be changed into a prime (444146347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335815 + ... + 337134.

It is an arithmetic number, because the mean of its divisors is an integer number (28263900).

Almost surely, 2444146340 is an apocalyptic number.

It is an amenable number.

444146340 is an abundant number, since it is smaller than the sum of its proper divisors (912520860).

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

444146340 is a wasteful number, since it uses less digits than its factorization.

444146340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672972 (or 672970 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 444146340 is about 21074.7797141512. The cubic root of 444146340 is about 762.9721680056.

Adding to 444146340 its reverse (43641444), we get a palindrome (487787784).

The spelling of 444146340 in words is "four hundred forty-four million, one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 672949 1345898 2018847 2691796 3364745 4037694 6729490 7402439 8075388 10094235 13458980 14804878 20188470 22207317 29609756 37012195 40376940 44414634 74024390 88829268 111036585 148048780 222073170 444146340