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442390347 = 32767311337
BaseRepresentation
bin11010010111100…
…101011101001011
31010211102202110200
4122113211131023
51401222442342
6111521543243
713651153530
oct3227453513
91124382420
10442390347
11207799463
121041a4b23
1370864149
1442a7ad87
1528c8894c
hex1a5e574b

442390347 has 48 divisors (see below), whose sum is σ = 745784832. Its totient is φ = 247484160.

The previous prime is 442390339. The next prime is 442390457. The reversal of 442390347 is 743093244.

It is not a de Polignac number, because 442390347 - 23 = 442390339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442390327) 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 47 ways as a sum of consecutive naturals, for example, 1312563 + ... + 1312899.

It is an arithmetic number, because the mean of its divisors is an integer number (15537184).

Almost surely, 2442390347 is an apocalyptic number.

442390347 is a deficient number, since it is larger than the sum of its proper divisors (303394485).

442390347 is a wasteful number, since it uses less digits than its factorization.

442390347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 442390347 is about 21033.0774495793. The cubic root of 442390347 is about 761.9653351871.

It can be divided in two parts, 44 and 2390347, that added together give a triangular number (2390391 = T2186).

The spelling of 442390347 in words is "four hundred forty-two million, three hundred ninety thousand, three hundred forty-seven".

Divisors: 1 3 7 9 21 63 67 201 311 337 469 603 933 1011 1407 2177 2359 2799 3033 4221 6531 7077 19593 20837 21231 22579 62511 67737 104807 145859 158053 187533 203211 314421 437577 474159 733649 943263 1312731 1422477 2200947 6602841 7022069 21066207 49154483 63198621 147463449 442390347