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442385367 = 34119718257
BaseRepresentation
bin11010010111100…
…100001111010111
31010211102111122020
4122113210033113
51401222312432
6111521504223
713651133154
oct3227441727
91124374566
10442385367
11207795746
121041a2073
1370861ab8
1442a7922b
1528c8722c
hex1a5e43d7

442385367 has 16 divisors (see below), whose sum is σ = 607334112. Its totient is φ = 286254080.

The previous prime is 442385351. The next prime is 442385369. The reversal of 442385367 is 763583244.

It is a cyclic number.

It is not a de Polignac number, because 442385367 - 24 = 442385351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442385369) 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 15 ways as a sum of consecutive naturals, for example, 15103 + ... + 33359.

It is an arithmetic number, because the mean of its divisors is an integer number (37958382).

Almost surely, 2442385367 is an apocalyptic number.

442385367 is a deficient number, since it is larger than the sum of its proper divisors (164948745).

442385367 is a wasteful number, since it uses less digits than its factorization.

442385367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18498.

The product of its digits is 483840, while the sum is 42.

The square root of 442385367 is about 21032.9590642876. The cubic root of 442385367 is about 761.9624760216.

The spelling of 442385367 in words is "four hundred forty-two million, three hundred eighty-five thousand, three hundred sixty-seven".

Divisors: 1 3 41 123 197 591 8077 18257 24231 54771 748537 2245611 3596629 10789887 147461789 442385367