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444334631 = 13223791447
BaseRepresentation
bin11010011111000…
…000001000100111
31010222002112112012
4122133000020213
51402222202011
6112031344435
714003532146
oct3237001047
91128075465
10444334631
112088a7204
1210498211b
1371095100
144302575d
152901ea8b
hex1a7c0227

444334631 has 24 divisors (see below), whose sum is σ = 508769280. Its totient is φ = 387088416.

The previous prime is 444334619. The next prime is 444334643. The reversal of 444334631 is 136433444.

It is an interprime number because it is at equal distance from previous prime (444334619) and next prime (444334643).

It is a de Polignac number, because none of the positive numbers 2k-444334631 is a prime.

It is a super-2 number, since 2×4443346312 = 394866528611812322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444334601) 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, 306350 + ... + 307796.

It is an arithmetic number, because the mean of its divisors is an integer number (21198720).

Almost surely, 2444334631 is an apocalyptic number.

444334631 is a deficient number, since it is larger than the sum of its proper divisors (64434649).

444334631 is a wasteful number, since it uses less digits than its factorization.

444334631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1562 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The square root of 444334631 is about 21079.2464523759. The cubic root of 444334631 is about 763.0799706847.

The spelling of 444334631 in words is "four hundred forty-four million, three hundred thirty-four thousand, six hundred thirty-one".

Divisors: 1 13 23 79 169 299 1027 1447 1817 3887 13351 18811 23621 33281 114313 244543 307073 432653 1486069 2629199 5624489 19318897 34179587 444334631