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442402434 = 232211116483
BaseRepresentation
bin11010010111101…
…000011010000010
31010211110101001100
4122113220122002
51401223334214
6111522115230
713651234005
oct3227503202
91124411040
10442402434
112077a7551
121041abb16
13708697b6
1442a8153c
1528c8c309
hex1a5e8682

442402434 has 24 divisors (see below), whose sum is σ = 963089712. Its totient is φ = 146767320.

The previous prime is 442402421. The next prime is 442402463. The reversal of 442402434 is 434204244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442402398 and 442402407.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54444 + ... + 62039.

It is an arithmetic number, because the mean of its divisors is an integer number (40128738).

Almost surely, 2442402434 is an apocalyptic number.

442402434 is an abundant number, since it is smaller than the sum of its proper divisors (520687278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442402434 is a wasteful number, since it uses less digits than its factorization.

442402434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116702 (or 116699 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 442402434 is about 21033.3647807478. The cubic root of 442402434 is about 761.9722746024.

Adding to 442402434 its reverse (434204244), we get a palindrome (876606678).

The spelling of 442402434 in words is "four hundred forty-two million, four hundred two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 211 422 633 1266 1899 3798 116483 232966 349449 698898 1048347 2096694 24577913 49155826 73733739 147467478 221201217 442402434