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444340221 = 313102111159
BaseRepresentation
bin11010011111000…
…001011111111101
31010222002211012020
4122133001133331
51402222341341
6112031430353
714003554353
oct3237013775
91128084166
10444340221
11208900426
121049853b9
1371097810
14430277d3
1529021566
hex1a7c17fd

444340221 has 16 divisors (see below), whose sum is σ = 638709120. Its totient is φ = 273147840.

The previous prime is 444340217. The next prime is 444340297. The reversal of 444340221 is 122043444.

It is a happy number.

It is not a de Polignac number, because 444340221 - 22 = 444340217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444340191 and 444340200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444320221) 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 15 ways as a sum of consecutive naturals, for example, 34240 + ... + 45398.

It is an arithmetic number, because the mean of its divisors is an integer number (39919320).

Almost surely, 2444340221 is an apocalyptic number.

It is an amenable number.

444340221 is a deficient number, since it is larger than the sum of its proper divisors (194368899).

444340221 is a wasteful number, since it uses less digits than its factorization.

444340221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444340221 is about 21079.3790468315. The cubic root of 444340221 is about 763.0831706747.

Adding to 444340221 its reverse (122043444), we get a palindrome (566383665).

The spelling of 444340221 in words is "four hundred forty-four million, three hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 13 39 1021 3063 11159 13273 33477 39819 145067 435201 11393339 34180017 148113407 444340221