Search a number
-
+
442212342 = 231113895791
BaseRepresentation
bin11010010110111…
…001111111110110
31010211002201021220
4122112321333312
51401201243332
6111514051210
713646512545
oct3226717766
91124081256
10442212342
11207687750
12104119b06
1370801110
1442a3215c
1528c50d2c
hex1a5b9ff6

442212342 has 64 divisors (see below), whose sum is σ = 1050900480. Its totient is φ = 122284800.

The previous prime is 442212311. The next prime is 442212367. The reversal of 442212342 is 243212244.

It is a congruent 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, 73467 + ... + 79257.

It is an arithmetic number, because the mean of its divisors is an integer number (16420320).

Almost surely, 2442212342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442212342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525450240).

442212342 is an abundant number, since it is smaller than the sum of its proper divisors (608688138).

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

442212342 is a wasteful number, since it uses less digits than its factorization.

442212342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909.

The product of its digits is 3072, while the sum is 24.

The square root of 442212342 is about 21028.8454747283. The cubic root of 442212342 is about 761.8631239189.

Adding to 442212342 its reverse (243212244), we get a palindrome (685424586).

The spelling of 442212342 in words is "four hundred forty-two million, two hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 89 143 178 267 286 429 534 858 979 1157 1958 2314 2937 3471 5791 5874 6942 11582 12727 17373 25454 34746 38181 63701 75283 76362 127402 150566 191103 225849 382206 451698 515399 828113 1030798 1546197 1656226 2484339 3092394 4968678 5669389 6700187 11338778 13400374 17008167 20100561 34016334 40201122 73702057 147404114 221106171 442212342