Search a number
-
+
2442320 = 24530529
BaseRepresentation
bin1001010100010001010000
311121002020022
421110101100
51111123240
6124203012
726521316
oct11242120
94532208
102442320
111418a51
12999468
1367687a
144780b6
153339b5
hex254450

2442320 has 20 divisors (see below), whose sum is σ = 5678580. Its totient is φ = 976896.

The previous prime is 2442311. The next prime is 2442353. The reversal of 2442320 is 232442.

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 2155024 = 536^2 + 1468^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15185 + ... + 15344.

It is an arithmetic number, because the mean of its divisors is an integer number (283929).

22442320 is an apocalyptic number.

2442320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442320 is an abundant number, since it is smaller than the sum of its proper divisors (3236260).

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

2442320 is a wasteful number, since it uses less digits than its factorization.

2442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30542 (or 30536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2442320 is about 1562.7923726458. The cubic root of 2442320 is about 134.6689648771.

Adding to 2442320 its reverse (232442), we get a palindrome (2674762).

The spelling of 2442320 in words is "two million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30529 61058 122116 152645 244232 305290 488464 610580 1221160 2442320