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1340444401 = 229225561
BaseRepresentation
bin100111111100101…
…1000111011110001
310110102021122000221
41033321120323301
510221123210101
6341002213041
745134406112
oct11771307361
93412248027
101340444401
1162871179a
12314ab4181
13184928b8a
14ca04c209
157ca2daa1
hex4fe58ef1

1340444401 has 6 divisors (see below), whose sum is σ = 1346376102. Its totient is φ = 1334538720.

The previous prime is 1340444383. The next prime is 1340444419. The reversal of 1340444401 is 1044440431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1340444383) and next prime (1340444419).

It can be written as a sum of positive squares in 3 ways, for example, as 1048205376 + 292239025 = 32376^2 + 17095^2 .

It is not a de Polignac number, because 1340444401 - 29 = 1340443889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1340444701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39661 + ... + 65221.

It is an arithmetic number, because the mean of its divisors is an integer number (224396017).

Almost surely, 21340444401 is an apocalyptic number.

It is an amenable number.

1340444401 is a deficient number, since it is larger than the sum of its proper divisors (5931701).

1340444401 is an frugal number, since it uses more digits than its factorization.

1340444401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26019 (or 25790 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1340444401 is about 36612.0799873484. The cubic root of 1340444401 is about 1102.5956337121.

Adding to 1340444401 its reverse (1044440431), we get a palindrome (2384884832).

The spelling of 1340444401 in words is "one billion, three hundred forty million, four hundred forty-four thousand, four hundred one".

Divisors: 1 229 25561 52441 5853469 1340444401