Search a number
-
+
320341424 = 241323292309
BaseRepresentation
bin10011000110000…
…000010110110000
3211022210000211012
4103012000112300
51124001411144
651442010052
710636600004
oct2306002660
9738700735
10320341424
11154908287
128b346928
13514a0750
143078a704
151d1cae9e
hex131805b0

320341424 has 80 divisors (see below), whose sum is σ = 721828800. Its totient is φ = 136485888.

The previous prime is 320341423. The next prime is 320341451. The reversal of 320341424 is 424143023.

320341424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 320341424.

It is not an unprimeable number, because it can be changed into a prime (320341423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137582 + ... + 139890.

It is an arithmetic number, because the mean of its divisors is an integer number (9022860).

Almost surely, 2320341424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

320341424 is an abundant number, since it is smaller than the sum of its proper divisors (401487376).

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

320341424 is a wasteful number, since it uses less digits than its factorization.

320341424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 320341424 is about 17898.0843667695. The cubic root of 320341424 is about 684.2335533843.

Adding to 320341424 its reverse (424143023), we get a palindrome (744484447).

The spelling of 320341424 in words is "three hundred twenty million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 29 46 52 58 92 104 116 184 208 232 299 368 377 464 598 667 754 1196 1334 1508 2309 2392 2668 3016 4618 4784 5336 6032 8671 9236 10672 17342 18472 30017 34684 36944 53107 60034 66961 69368 106214 120068 133922 138736 212428 240136 267844 424856 480272 535688 690391 849712 870493 1071376 1380782 1540103 1740986 2761564 3080206 3481972 5523128 6160412 6963944 11046256 12320824 13927888 20021339 24641648 40042678 80085356 160170712 320341424