Search a number
-
+
320224404 = 2231912711059
BaseRepresentation
bin10011000101100…
…011110010010100
3211022120002022010
4103011203302110
51123434140104
651435304220
710635601563
oct2305436224
9738502263
10320224404
11154838375
128b2ab070
135145c3c6
1430759bda
151d1a6489
hex13163c94

320224404 has 48 divisors (see below), whose sum is σ = 792780800. Its totient is φ = 100318176.

The previous prime is 320224379. The next prime is 320224453. The reversal of 320224404 is 404422023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23427 + ... + 34485.

Almost surely, 2320224404 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 320224404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396390400).

320224404 is an abundant number, since it is smaller than the sum of its proper divisors (472556396).

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

320224404 is a wasteful number, since it uses less digits than its factorization.

320224404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 320224404 is about 17894.8150032349. The cubic root of 320224404 is about 684.1502269123.

Adding to 320224404 its reverse (404422023), we get a palindrome (724646427).

The spelling of 320224404 in words is "three hundred twenty million, two hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 127 228 254 381 508 762 1524 2413 4826 7239 9652 11059 14478 22118 28956 33177 44236 66354 132708 210121 420242 630363 840484 1260726 1404493 2521452 2808986 4213479 5617972 8426958 16853916 26685367 53370734 80056101 106741468 160112202 320224404