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441711104 = 29911947
BaseRepresentation
bin11010010100111…
…111101000000000
31010210011020201112
4122110333220000
51401034223404
6111455222452
713642324322
oct3224775000
91123136645
10441711104
112073750aa
12103b17a28
1370686c23
1442941612
1528ba256e
hex1a53fa00

441711104 has 40 divisors (see below), whose sum is σ = 884461248. Its totient is φ = 220380160.

The previous prime is 441711103. The next prime is 441711139. The reversal of 441711104 is 401117144.

It is a self number, because there is not a number n which added to its sum of digits gives 441711104.

It is not an unprimeable number, because it can be changed into a prime (441711103) 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 3 ways as a sum of consecutive naturals, for example, 465959 + ... + 466905.

Almost surely, 2441711104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442230624).

441711104 is an abundant number, since it is smaller than the sum of its proper divisors (442750144).

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

441711104 is an frugal number, since it uses more digits than its factorization.

441711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 441711104 is about 21016.9242278693. The cubic root of 441711104 is about 761.5751633734.

Adding to 441711104 its reverse (401117144), we get a palindrome (842828248).

The spelling of 441711104 in words is "four hundred forty-one million, seven hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 911 947 1822 1894 3644 3788 7288 7576 14576 15152 29152 30304 58304 60608 116608 121216 233216 242432 466432 484864 862717 1725434 3450868 6901736 13803472 27606944 55213888 110427776 220855552 441711104