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442204305 = 35312114507
BaseRepresentation
bin11010010110111…
…000000010010001
31010211002022021020
4122112320002101
51401201014210
6111513550053
713646450244
oct3226700221
91124068236
10442204305
11207681704
12104115329
13707ca56a
1442a2d25b
1528c4d770
hex1a5b8091

442204305 has 32 divisors (see below), whose sum is σ = 733974528. Its totient is φ = 227102400.

The previous prime is 442204297. The next prime is 442204327. The reversal of 442204305 is 503402244.

It is not a de Polignac number, because 442204305 - 23 = 442204297 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95862 + ... + 100368.

It is an arithmetic number, because the mean of its divisors is an integer number (22936704).

Almost surely, 2442204305 is an apocalyptic number.

It is an amenable number.

442204305 is a deficient number, since it is larger than the sum of its proper divisors (291770223).

442204305 is a wasteful number, since it uses less digits than its factorization.

442204305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 442204305 is about 21028.6543792036. The cubic root of 442204305 is about 761.8585083903.

Adding to 442204305 its reverse (503402244), we get a palindrome (945606549).

The spelling of 442204305 in words is "four hundred forty-two million, two hundred four thousand, three hundred five".

Divisors: 1 3 5 15 31 93 155 211 465 633 1055 3165 4507 6541 13521 19623 22535 32705 67605 98115 139717 419151 698585 950977 2095755 2852931 4754885 14264655 29480287 88440861 147401435 442204305