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3042405 = 325174197
BaseRepresentation
bin1011100110110001100101
312201120101200
423212301211
51234324110
6145113113
734600662
oct13466145
95646350
103042405
111798893
121028799
13826a52
14592a69
154016c0
hex2e6c65

3042405 has 48 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 1474560.

The previous prime is 3042401. The next prime is 3042407. The reversal of 3042405 is 5042403.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 159201 + 2883204 = 399^2 + 1698^2 .

It is not a de Polignac number, because 3042405 - 22 = 3042401 is a prime.

3042405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31317 + ... + 31413.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 23042405 is an apocalyptic number.

It is an amenable number.

3042405 is a deficient number, since it is larger than the sum of its proper divisors (2736459).

3042405 is a wasteful number, since it uses less digits than its factorization.

3042405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3042405 is about 1744.2491221153. The cubic root of 3042405 is about 144.9013200959.

Adding to 3042405 its reverse (5042403), we get a palindrome (8084808).

The spelling of 3042405 in words is "three million, forty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 17 41 45 51 85 97 123 153 205 255 291 369 485 615 697 765 873 1455 1649 1845 2091 3485 3977 4365 4947 6273 8245 10455 11931 14841 19885 24735 31365 35793 59655 67609 74205 178965 202827 338045 608481 1014135 3042405