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2324257 = 13217809
BaseRepresentation
bin1000110111011100100001
311101002021121
420313130201
51043334012
6121452241
725520155
oct10673441
94332247
102324257
111348281
12941081
13634c00
14447065
1530da07
hex237721

2324257 has 12 divisors (see below), whose sum is σ = 2668140. Its totient is φ = 2016768.

The previous prime is 2324237. The next prime is 2324261. The reversal of 2324257 is 7524232.

2324257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1681 + 2322576 = 41^2 + 1524^2 .

It is not a de Polignac number, because 2324257 - 27 = 2324129 is a prime.

It is a d-powerful number, because it can be written as 2 + 311 + 215 + 44 + 221 + 53 + 75 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2324237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2469 + ... + 3277.

It is an arithmetic number, because the mean of its divisors is an integer number (222345).

22324257 is an apocalyptic number.

It is an amenable number.

2324257 is a deficient number, since it is larger than the sum of its proper divisors (343883).

2324257 is a wasteful number, since it uses less digits than its factorization.

2324257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its digits is 3360, while the sum is 25.

The square root of 2324257 is about 1524.5514094316. The cubic root of 2324257 is about 132.4630394120.

Subtracting from 2324257 its sum of digits (25), we obtain a palindrome (2324232).

Adding to 2324257 its reverse (7524232), we get a palindrome (9848489).

It can be divided in two parts, 232 and 4257, that added together give a square (4489 = 672).

The spelling of 2324257 in words is "two million, three hundred twenty-four thousand, two hundred fifty-seven".

Divisors: 1 13 17 169 221 809 2873 10517 13753 136721 178789 2324257