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3440400401 is a prime number
BaseRepresentation
bin1100110100010000…
…0101100000010001
322212202201110010002
43031010011200101
524021220303101
61325215415345
7151153630604
oct31504054021
98782643102
103440400401
11150601a819
12800224555
1342a9cc9a9
14248cc633b
15152087d6b
hexcd105811

3440400401 has 2 divisors, whose sum is σ = 3440400402. Its totient is φ = 3440400400.

The previous prime is 3440400361. The next prime is 3440400461. The reversal of 3440400401 is 1040040443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2376075025 + 1064325376 = 48745^2 + 32624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3440400401 is a prime.

It is not a weakly prime, because it can be changed into another prime (3440400461) 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 as a sum of consecutive naturals, namely, 1720200200 + 1720200201.

It is an arithmetic number, because the mean of its divisors is an integer number (1720200201).

Almost surely, 23440400401 is an apocalyptic number.

It is an amenable number.

3440400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3440400401 is an equidigital number, since it uses as much as digits as its factorization.

3440400401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3440400401 is about 58654.9264853345. The cubic root of 3440400401 is about 1509.6270296475.

Adding to 3440400401 its reverse (1040040443), we get a palindrome (4480440844).

The spelling of 3440400401 in words is "three billion, four hundred forty million, four hundred thousand, four hundred one".