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3435660303345 = 32597787092853
BaseRepresentation
bin110001111111101101010…
…011111101101111110001
3110011110001001222202021200
4301333231103331233301
5422242213014201340
611150153123441413
7503134602510054
oct61775523755761
913143031882250
103435660303345
111105067745856
12475a2b826269
131bbc9b11284a
14bc403168a9b
155e581b4d330
hex31fed4fdbf1

3435660303345 has 24 divisors (see below), whose sum is σ = 6016537775976. Its totient is φ = 1813461931008.

The previous prime is 3435660303293. The next prime is 3435660303359. The reversal of 3435660303345 is 5433030665343.

3435660303345 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 6 + 603 + 0 + 3 + 34 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14022349056 + 3421637954289 = 118416^2 + 1849767^2 .

It is not a de Polignac number, because 3435660303345 - 212 = 3435660299249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3435660303345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393542062 + ... + 393550791.

It is an arithmetic number, because the mean of its divisors is an integer number (250689073999).

Almost surely, 23435660303345 is an apocalyptic number.

It is an amenable number.

3435660303345 is a deficient number, since it is larger than the sum of its proper divisors (2580877472631).

3435660303345 is a wasteful number, since it uses less digits than its factorization.

3435660303345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787092961 (or 787092958 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 45.

Adding to 3435660303345 its reverse (5433030665343), we get a palindrome (8868690968688).

The spelling of 3435660303345 in words is "three trillion, four hundred thirty-five billion, six hundred sixty million, three hundred three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 787092853 2361278559 3935464265 7083835677 11806392795 35419178385 76348006741 229044020223 381740033705 687132060669 1145220101115 3435660303345