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2440332401 = 132273972083
BaseRepresentation
bin1001000101110100…
…1000010001110001
320022001220201201112
42101131020101301
514444211114101
61042052443105
7114321324503
oct22135102161
96261821645
102440332401
11104255a941
12581319495
132cb76a890
1419215bd73
15e43916bb
hex91748471

2440332401 has 16 divisors (see below), whose sum is σ = 2647546944. Its totient is φ = 2235968064.

The previous prime is 2440332359. The next prime is 2440332437. The reversal of 2440332401 is 1042330442.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2440332401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2440332481) by changing a digit.

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, 1170506 + ... + 1172588.

It is an arithmetic number, because the mean of its divisors is an integer number (165471684).

Almost surely, 22440332401 is an apocalyptic number.

It is an amenable number.

2440332401 is a deficient number, since it is larger than the sum of its proper divisors (207214543).

2440332401 is a wasteful number, since it uses less digits than its factorization.

2440332401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720.

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2440332401 is about 49399.7206571049. The cubic root of 2440332401 is about 1346.3242304477.

Adding to 2440332401 its reverse (1042330442), we get a palindrome (3482662843).

The spelling of 2440332401 in words is "two billion, four hundred forty million, three hundred thirty-two thousand, four hundred one".

Divisors: 1 13 227 397 2083 2951 5161 27079 90119 472841 826951 1171547 6146933 10750363 187717877 2440332401