Search a number
-
+
2442304 = 26311231
BaseRepresentation
bin1001010100010001000000
311121002012201
421110101000
51111123204
6124202544
726521264
oct11242100
94532181
102442304
111418a37
12999454
13676867
144780a4
153339a4
hex254440

2442304 has 28 divisors (see below), whose sum is σ = 5006848. Its totient is φ = 1180800.

The previous prime is 2442289. The next prime is 2442311. The reversal of 2442304 is 4032442.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1369 + ... + 2599.

It is an arithmetic number, because the mean of its divisors is an integer number (178816).

22442304 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 2442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503424).

2442304 is an abundant number, since it is smaller than the sum of its proper divisors (2564544).

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

2442304 is a wasteful number, since it uses less digits than its factorization.

2442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2442304 is about 1562.7872535953. The cubic root of 2442304 is about 134.6686707977.

Adding to 2442304 its reverse (4032442), we get a palindrome (6474746).

The spelling of 2442304 in words is "two million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1231 1984 2462 4924 9848 19696 38161 39392 76322 78784 152644 305288 610576 1221152 2442304