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3435606961 = 193119130539
BaseRepresentation
bin1100110011000111…
…0011001110110001
322212102200220202021
43030301303032301
524014003410321
61324524551441
7151065114553
oct31461631661
98772626667
103435606961
1115033463a6
127ba6b2581
13429a11c37
142483d94d3
1515193c941
hexccc733b1

3435606961 has 16 divisors (see below), whose sum is σ = 3752755200. Its totient is φ = 3133198800.

The previous prime is 3435606949. The next prime is 3435606989. The reversal of 3435606961 is 1696065343.

It is not a de Polignac number, because 3435606961 - 25 = 3435606929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3435606661) 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 15 ways as a sum of consecutive naturals, for example, 97230 + ... + 127768.

It is an arithmetic number, because the mean of its divisors is an integer number (234547200).

Almost surely, 23435606961 is an apocalyptic number.

3435606961 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3435606961 is a deficient number, since it is larger than the sum of its proper divisors (317148239).

3435606961 is a wasteful number, since it uses less digits than its factorization.

3435606961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30780.

The product of its (nonzero) digits is 349920, while the sum is 43.

The square root of 3435606961 is about 58614.0508837258. The cubic root of 3435606961 is about 1508.9255928880.

The spelling of 3435606961 in words is "three billion, four hundred thirty-five million, six hundred six thousand, nine hundred sixty-one".

Divisors: 1 19 31 191 589 3629 5921 30539 112499 580241 946709 5832949 17987471 110826031 180821419 3435606961