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444130434 = 2321119118057
BaseRepresentation
bin11010011110001…
…110010010000010
31010221201011102100
4122132032102002
51402144133214
6112023131230
714002021626
oct3236162202
91127634370
10444130434
11208777850
121048a3b16
1371023197
1442db1186
1528ece309
hex1a78e482

444130434 has 48 divisors (see below), whose sum is σ = 1105022880. Its totient is φ = 127500480.

The previous prime is 444130433. The next prime is 444130439. The reversal of 444130434 is 434031444.

It is a junction number, because it is equal to n+sod(n) for n = 444130398 and 444130407.

It is not an unprimeable number, because it can be changed into a prime (444130433) 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 23 ways as a sum of consecutive naturals, for example, 55267 + ... + 62790.

It is an arithmetic number, because the mean of its divisors is an integer number (23021310).

Almost surely, 2444130434 is an apocalyptic number.

444130434 is an abundant number, since it is smaller than the sum of its proper divisors (660892446).

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

444130434 is a wasteful number, since it uses less digits than its factorization.

444130434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118095 (or 118092 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 444130434 is about 21074.4023402800. The cubic root of 444130434 is about 762.9630599113.

Adding to 444130434 its reverse (434031444), we get a palindrome (878161878).

The spelling of 444130434 in words is "four hundred forty-four million, one hundred thirty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 118057 236114 354171 708342 1062513 1298627 2125026 2243083 2597254 3895881 4486166 6729249 7791762 11687643 13458498 20187747 23375286 24673913 40375494 49347826 74021739 148043478 222065217 444130434