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240400321 = 724906129
BaseRepresentation
bin11100101010000…
…11011111000001
3121202100121020121
432111003133001
5443020302241
635504340241
75646240400
oct1625033701
9552317217
10240400321
11113777357
1268614681
133aa61115
1423cdb637
1516189ad1
hexe5437c1

240400321 has 6 divisors (see below), whose sum is σ = 279649410. Its totient is φ = 206057376.

The previous prime is 240400309. The next prime is 240400409. The reversal of 240400321 is 123004042.

240400321 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 only one way, i.e., 168065296 + 72335025 = 12964^2 + 8505^2 .

It is not a de Polignac number, because 240400321 - 25 = 240400289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 240400295 and 240400304.

It is not an unprimeable number, because it can be changed into a prime (240406321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2453016 + ... + 2453113.

It is an arithmetic number, because the mean of its divisors is an integer number (46608235).

Almost surely, 2240400321 is an apocalyptic number.

It is an amenable number.

240400321 is a deficient number, since it is larger than the sum of its proper divisors (39249089).

240400321 is an equidigital number, since it uses as much as digits as its factorization.

240400321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906143 (or 4906136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 240400321 is about 15504.8483062557. The cubic root of 240400321 is about 621.7918343739.

Adding to 240400321 its reverse (123004042), we get a palindrome (363404363).

The spelling of 240400321 in words is "two hundred forty million, four hundred thousand, three hundred twenty-one".

Divisors: 1 7 49 4906129 34342903 240400321