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3413618377 = 131761313809
BaseRepresentation
bin1100101101110111…
…1010111011001001
322210220022210002021
43023131322323021
523442341242002
61322421404441
7150410164111
oct31335727311
98726283067
103413618377
1114a1998014
127b3269721
134252b3640
14245514041
1514ea47737
hexcb77aec9

3413618377 has 32 divisors (see below), whose sum is σ = 3973808160. Its totient is φ = 2904145920.

The previous prime is 3413618359. The next prime is 3413618387. The reversal of 3413618377 is 7738163143.

It can be written as a sum of positive squares in 16 ways, for example, as 2024640016 + 1388978361 = 44996^2 + 37269^2 .

It is not a de Polignac number, because 3413618377 - 27 = 3413618249 is a prime.

It is a super-2 number, since 2×34136183772 = 23305580847584228258, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3413618387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4219149 + ... + 4219957.

It is an arithmetic number, because the mean of its divisors is an integer number (124181505).

Almost surely, 23413618377 is an apocalyptic number.

It is an amenable number.

3413618377 is a deficient number, since it is larger than the sum of its proper divisors (560189783).

3413618377 is a wasteful number, since it uses less digits than its factorization.

3413618377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213.

The product of its digits is 254016, while the sum is 43.

The square root of 3413618377 is about 58426.1788670113. The cubic root of 3413618377 is about 1505.6995569743.

The spelling of 3413618377 in words is "three billion, four hundred thirteen million, six hundred eighteen thousand, three hundred seventy-seven".

Divisors: 1 13 17 61 221 313 793 809 1037 4069 5321 10517 13481 13753 19093 49349 69173 178789 248209 253217 324581 641537 838933 3291821 4219553 4304689 10906129 15446237 55960957 200801081 262586029 3413618377