Search a number
-
+
442330420 = 22573678609
BaseRepresentation
bin11010010111010…
…110110100110100
31010211022201021011
4122113112310310
51401214033140
6111520402004
713650514030
oct3227266464
91124281234
10442330420
11207758434
12104176304
1370842a9c
1442a631c0
1528c75cea
hex1a5d6d34

442330420 has 48 divisors (see below), whose sum is σ = 1064609280. Its totient is φ = 151225344.

The previous prime is 442330391. The next prime is 442330481. The reversal of 442330420 is 24033244.

It is a junction number, because it is equal to n+sod(n) for n = 442330391 and 442330400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47076 + ... + 55684.

It is an arithmetic number, because the mean of its divisors is an integer number (22179360).

Almost surely, 2442330420 is an apocalyptic number.

It is an amenable number.

442330420 is an abundant number, since it is smaller than the sum of its proper divisors (622278860).

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

442330420 is a wasteful number, since it uses less digits than its factorization.

442330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8992 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 442330420 is about 21031.6528118928. The cubic root of 442330420 is about 761.9309278973.

Adding to 442330420 its reverse (24033244), we get a palindrome (466363664).

It can be divided in two parts, 4423 and 30420, that added together give a palindrome (34843).

The spelling of 442330420 in words is "four hundred forty-two million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 367 734 1468 1835 2569 3670 5138 7340 8609 10276 12845 17218 25690 34436 43045 51380 60263 86090 120526 172180 241052 301315 602630 1205260 3159503 6319006 12638012 15797515 22116521 31595030 44233042 63190060 88466084 110582605 221165210 442330420