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31344165 = 345193401
BaseRepresentation
bin111011110010…
…0011000100101
32011222110010000
41313210120211
531011003130
63035451513
7530264256
oct167443045
964873100
1031344165
1116769376
12a5b6b99
136655a58
14423cb2d
152b42260
hex1de4625

31344165 has 40 divisors (see below), whose sum is σ = 56619288. Its totient is φ = 16588800.

The previous prime is 31344151. The next prime is 31344169. The reversal of 31344165 is 56144313.

It can be written as a sum of positive squares in 4 ways, for example, as 7986276 + 23357889 = 2826^2 + 4833^2 .

It is not a de Polignac number, because 31344165 - 28 = 31343909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77965 + ... + 78365.

Almost surely, 231344165 is an apocalyptic number.

It is an amenable number.

31344165 is a deficient number, since it is larger than the sum of its proper divisors (25275123).

31344165 is a wasteful number, since it uses less digits than its factorization.

31344165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 602 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 31344165 is about 5598.5859821923. The cubic root of 31344165 is about 315.2963198047.

Adding to 31344165 its reverse (56144313), we get a palindrome (87488478).

The spelling of 31344165 in words is "thirty-one million, three hundred forty-four thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 193 401 405 579 965 1203 1737 2005 2895 3609 5211 6015 8685 10827 15633 18045 26055 32481 54135 77393 78165 162405 232179 386965 696537 1160895 2089611 3482685 6268833 10448055 31344165