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2987361 = 34132837
BaseRepresentation
bin1011011001010101100001
312121202220000
423121111201
51231043421
6144010213
734251336
oct13312541
95552800
102987361
1117604a3
121000969
13807990
1457a98d
153e0226
hex2d9561

2987361 has 20 divisors (see below), whose sum is σ = 4807572. Its totient is φ = 1837728.

The previous prime is 2987297. The next prime is 2987371. The reversal of 2987361 is 1637892.

2987361 is a `hidden beast` number, since 298 + 7 + 361 = 666.

2987361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 245025 + 2742336 = 495^2 + 1656^2 .

It is not a de Polignac number, because 2987361 - 26 = 2987297 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2987371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 366 + ... + 2471.

22987361 is an apocalyptic number.

It is an amenable number.

2987361 is a deficient number, since it is larger than the sum of its proper divisors (1820211).

2987361 is a wasteful number, since it uses less digits than its factorization.

2987361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2853 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2987361 is about 1728.3983915753. The cubic root of 2987361 is about 144.0221320149.

The spelling of 2987361 in words is "two million, nine hundred eighty-seven thousand, three hundred sixty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 2837 8511 25533 36881 76599 110643 229797 331929 995787 2987361