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442210314 = 23713809909
BaseRepresentation
bin11010010110111…
…001100000001010
31010211002121111210
4122112321200022
51401201212224
6111514033550
713646503620
oct3226714012
91124077453
10442210314
11207686177
121041188b6
1370800210
1442a31510
1528c50429
hex1a5b980a

442210314 has 32 divisors (see below), whose sum is σ = 1088519040. Its totient is φ = 116626752.

The previous prime is 442210271. The next prime is 442210339. The reversal of 442210314 is 413012244.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 404409 + ... + 405500.

It is an arithmetic number, because the mean of its divisors is an integer number (34016220).

Almost surely, 2442210314 is an apocalyptic number.

442210314 is an abundant number, since it is smaller than the sum of its proper divisors (646308726).

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

442210314 is a wasteful number, since it uses less digits than its factorization.

442210314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809934.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 442210314 is about 21028.7972551927. The cubic root of 442210314 is about 761.8619592742.

Adding to 442210314 its reverse (413012244), we get a palindrome (855222558).

The spelling of 442210314 in words is "four hundred forty-two million, two hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 809909 1619818 2429727 4859454 5669363 10528817 11338726 17008089 21057634 31586451 34016178 63172902 73701719 147403438 221105157 442210314