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4314141 = 341317241
BaseRepresentation
bin10000011101010000011101
322010011220000
4100131100131
52101023031
6232244513
751445446
oct20352035
98104800
104314141
112487307
121540739
13b80860
148042cd
155a33e6
hex41d41d

4314141 has 40 divisors (see below), whose sum is σ = 7379064. Its totient is φ = 2488320.

The previous prime is 4314119. The next prime is 4314169. The reversal of 4314141 is 1414134.

It can be written as a sum of positive squares in 4 ways, for example, as 910116 + 3404025 = 954^2 + 1845^2 .

It is not a de Polignac number, because 4314141 - 29 = 4313629 is a prime.

It is a super-2 number, since 2×43141412 = 37223625135762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314181) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17781 + ... + 18021.

Almost surely, 24314141 is an apocalyptic number.

It is an amenable number.

4314141 is a deficient number, since it is larger than the sum of its proper divisors (3064923).

4314141 is a wasteful number, since it uses less digits than its factorization.

4314141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 4314141 is about 2077.0510345199. The cubic root of 4314141 is about 162.7913951065.

Adding to 4314141 its reverse (1414134), we get a palindrome (5728275).

The spelling of 4314141 in words is "four million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 241 351 459 663 723 1053 1377 1989 2169 3133 4097 5967 6507 9399 12291 17901 19521 28197 36873 53261 84591 110619 159783 253773 331857 479349 1438047 4314141