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444330641 = 5325732621
BaseRepresentation
bin11010011110111…
…111001010010001
31010222002100001102
4122132333022101
51402222040031
6112031314145
714003514416
oct3236771221
91128070042
10444330641
112088a4207
1210497b955
1371093351
144302410d
152901d7cb
hex1a7bf291

444330641 has 8 divisors (see below), whose sum is σ = 454489704. Its totient is φ = 434237440.

The previous prime is 444330619. The next prime is 444330697. The reversal of 444330641 is 146033444.

It can be written as a sum of positive squares in 4 ways, for example, as 266375041 + 177955600 = 16321^2 + 13340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444330641 - 214 = 444314257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444330611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2690 + ... + 29931.

It is an arithmetic number, because the mean of its divisors is an integer number (56811213).

Almost surely, 2444330641 is an apocalyptic number.

It is an amenable number.

444330641 is a deficient number, since it is larger than the sum of its proper divisors (10159063).

444330641 is a wasteful number, since it uses less digits than its factorization.

444330641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32931.

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 444330641 is about 21079.1518093115. The cubic root of 444330641 is about 763.0776865967.

The spelling of 444330641 in words is "four hundred forty-four million, three hundred thirty thousand, six hundred forty-one".

Divisors: 1 53 257 13621 32621 1728913 8383597 444330641