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3466791349 = 73197164701
BaseRepresentation
bin1100111010100011…
…0000100110110101
322221121101020200121
43032220300212311
524044444310344
61332001211541
7151624145260
oct31650604665
98847336617
103466791349
111519a0571a
12809030bb1
13433310038
1424c5d5cd7
1515454c684
hexcea309b5

3466791349 has 16 divisors (see below), whose sum is σ = 4132043776. Its totient is φ = 2846016000.

The previous prime is 3466791343. The next prime is 3466791353. The reversal of 3466791349 is 9431976643.

3466791349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3466791349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3466791296 and 3466791305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466791343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61302 + ... + 103399.

It is an arithmetic number, because the mean of its divisors is an integer number (258252736).

Almost surely, 23466791349 is an apocalyptic number.

It is an amenable number.

3466791349 is a deficient number, since it is larger than the sum of its proper divisors (665252427).

3466791349 is a wasteful number, since it uses less digits than its factorization.

3466791349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164836.

The product of its digits is 2939328, while the sum is 52.

The square root of 3466791349 is about 58879.4645780683. The cubic root of 3466791349 is about 1513.4772646014.

The spelling of 3466791349 in words is "three billion, four hundred sixty-six million, seven hundred ninety-one thousand, three hundred forty-nine".

Divisors: 1 7 31 97 217 679 3007 21049 164701 1152907 5105731 15975997 35740117 111831979 495255907 3466791349