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1345600641 = 37115825111
BaseRepresentation
bin101000000110100…
…0011110010000001
310110202222121001210
41100031003302001
510223433210031
6341304520333
745226262640
oct12015036201
93422877053
101345600641
11630613750
123167800a9
13185a12ac8
14ca9d1357
157d1eb746
hex50343c81

1345600641 has 16 divisors (see below), whose sum is σ = 2236843008. Its totient is φ = 699013200.

The previous prime is 1345600639. The next prime is 1345600681. The reversal of 1345600641 is 1460065431.

It is not a de Polignac number, because 1345600641 - 21 = 1345600639 is a prime.

It is a super-2 number, since 2×13456006412 = 3621282170119221762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1345600599 and 1345600608.

It is not an unprimeable number, because it can be changed into a prime (1345600631) 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 in 15 ways as a sum of consecutive naturals, for example, 2912325 + ... + 2912786.

It is an arithmetic number, because the mean of its divisors is an integer number (139802688).

Almost surely, 21345600641 is an apocalyptic number.

1345600641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1345600641 is a deficient number, since it is larger than the sum of its proper divisors (891242367).

1345600641 is a wasteful number, since it uses less digits than its factorization.

1345600641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825132.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1345600641 is about 36682.4295951072. The cubic root of 1345600641 is about 1104.0075966645.

It can be divided in two parts, 13 and 45600641, that added together give a palindrome (45600654).

The spelling of 1345600641 in words is "one billion, three hundred forty-five million, six hundred thousand, six hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 5825111 17475333 40775777 64076221 122327331 192228663 448533547 1345600641