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444315321 = 3316456123
BaseRepresentation
bin11010011110111…
…011011010111001
31010222001120001000
4122132323122321
51402221042241
6112031115213
714003421642
oct3236733271
91128046030
10444315321
1120889374a
12104972b09
1371089398
144301c6c9
1529018eb6
hex1a7bb6b9

444315321 has 8 divisors (see below), whose sum is σ = 658244960. Its totient is φ = 296210196.

The previous prime is 444315317. The next prime is 444315329. The reversal of 444315321 is 123513444.

It is a happy number.

It is not a de Polignac number, because 444315321 - 22 = 444315317 is a prime.

It is a super-2 number, since 2×4443153212 = 394832208950666082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 16456123 = 444315321 / (4 + 4 + 4 + 3 + 1 + 5 + 3 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444315329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8228035 + ... + 8228088.

It is an arithmetic number, because the mean of its divisors is an integer number (82280620).

Almost surely, 2444315321 is an apocalyptic number.

It is an amenable number.

444315321 is a deficient number, since it is larger than the sum of its proper divisors (213929639).

444315321 is a wasteful number, since it uses less digits than its factorization.

444315321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16456132 (or 16456126 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 444315321 is about 21078.7884139483. The cubic root of 444315321 is about 763.0689164877.

Adding to 444315321 its reverse (123513444), we get a palindrome (567828765).

The spelling of 444315321 in words is "four hundred forty-four million, three hundred fifteen thousand, three hundred twenty-one".

Divisors: 1 3 9 27 16456123 49368369 148105107 444315321