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3438417103 = 112997111121
BaseRepresentation
bin1100110011110010…
…0001010011001111
322212121222200112121
43030330201103033
524020213321403
61325105113411
7151131030442
oct31474412317
98777880477
103438417103
111504995730
127bb628867
1342a487044
1424892b659
15151ce53bd
hexccf214cf

3438417103 has 16 divisors (see below), whose sum is σ = 3920384160. Its totient is φ = 2986905600.

The previous prime is 3438417091. The next prime is 3438417109. The reversal of 3438417103 is 3017148343.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3438417103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438417109) 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, 24618 + ... + 86503.

It is an arithmetic number, because the mean of its divisors is an integer number (245024010).

Almost surely, 23438417103 is an apocalyptic number.

3438417103 is a deficient number, since it is larger than the sum of its proper divisors (481967057).

3438417103 is a wasteful number, since it uses less digits than its factorization.

3438417103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111258.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3438417103 is about 58638.0175568718. The cubic root of 3438417103 is about 1509.3368874710.

The spelling of 3438417103 in words is "three billion, four hundred thirty-eight million, four hundred seventeen thousand, one hundred three".

Divisors: 1 11 29 97 319 1067 2813 30943 111121 1222331 3222509 10778737 35447599 118566107 312583373 3438417103