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1340000001 = 32977612017
BaseRepresentation
bin100111111011110…
…1100011100000001
310110101110001102200
41033313230130001
510221020000001
6340544503413
745130545354
oct11767543401
93411401380
101340000001
1162843891a
1231491ab69
13184801812
14c9d7429b
157c992086
hex4fdec701

1340000001 has 24 divisors (see below), whose sum is σ = 1959050184. Its totient is φ = 882524160.

The previous prime is 1339999967. The next prime is 1340000003. The reversal of 1340000001 is 1000000431.

It can be written as a sum of positive squares in 4 ways, for example, as 48316401 + 1291683600 = 6951^2 + 35940^2 .

It is not a de Polignac number, because 1340000001 - 26 = 1339999937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1340000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663345 + ... + 665361.

It is an arithmetic number, because the mean of its divisors is an integer number (81627091).

Almost surely, 21340000001 is an apocalyptic number.

It is an amenable number.

1340000001 is a deficient number, since it is larger than the sum of its proper divisors (619050183).

1340000001 is a wasteful number, since it uses less digits than its factorization.

1340000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1340000001 is about 36606.0104491052. The cubic root of 1340000001 is about 1102.4737717240.

Adding to 1340000001 its reverse (1000000431), we get a palindrome (2340000432).

The spelling of 1340000001 in words is "one billion, three hundred forty million, one", and thus it is an aban number.

Divisors: 1 3 9 97 291 761 873 2017 2283 6051 6849 18153 73817 195649 221451 586947 664353 1534937 1760841 4604811 13814433 148888889 446666667 1340000001