Search a number
-
+
442440330 = 235431971741
BaseRepresentation
bin11010010111110…
…001101010001010
31010211112022000220
4122113301222022
51401231042310
6111523010510
713651452333
oct3227615212
91124468026
10442440330
11207822a72
12104209a36
1370880b17
1442a9128a
1528c98670
hex1a5f1a8a

442440330 has 64 divisors (see below), whose sum is σ = 1092693888. Its totient is φ = 114589440.

The previous prime is 442440319. The next prime is 442440331. The reversal of 442440330 is 33044244.

It is a happy number.

It is a super-2 number, since 2×4424403302 = 391506891221017800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442440330.

It is not an unprimeable number, because it can be changed into a prime (442440331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253260 + ... + 255000.

It is an arithmetic number, because the mean of its divisors is an integer number (17073342).

Almost surely, 2442440330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442440330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546346944).

442440330 is an abundant number, since it is smaller than the sum of its proper divisors (650253558).

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

442440330 is a wasteful number, since it uses less digits than its factorization.

442440330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 442440330 is about 21034.2656158945. The cubic root of 442440330 is about 761.9940307191.

Adding to 442440330 its reverse (33044244), we get a palindrome (475484574).

The spelling of 442440330 in words is "four hundred forty-two million, four hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 197 215 258 394 430 591 645 985 1182 1290 1741 1970 2955 3482 5223 5910 8471 8705 10446 16942 17410 25413 26115 42355 50826 52230 74863 84710 127065 149726 224589 254130 342977 374315 449178 685954 748630 1028931 1122945 1714885 2057862 2245890 3429770 5144655 10289310 14748011 29496022 44244033 73740055 88488066 147480110 221220165 442440330