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65348 = 2217312
BaseRepresentation
bin1111111101000100
310022122022
433331010
54042343
61222312
7361343
oct177504
9108568
1065348
1145108
1231998
132398a
1419b5a
1514568
hexff44

65348 has 18 divisors (see below), whose sum is σ = 125118. Its totient is φ = 29760.

The previous prime is 65327. The next prime is 65353. The reversal of 65348 is 84356.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 3844 = 248^2 + 62^2 .

It is a super-2 number, since 2×653482 = 8540722208, which contains 22 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65348.

It is an unprimeable number.

65348 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2093 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (6951).

265348 is an apocalyptic number.

65348 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

65348 is a deficient number, since it is larger than the sum of its proper divisors (59770).

65348 is a wasteful number, since it uses less digits than its factorization.

65348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 65348 is about 255.6325487883. The cubic root of 65348 is about 40.2788844017.

The spelling of 65348 in words is "sixty-five thousand, three hundred forty-eight".

Divisors: 1 2 4 17 31 34 62 68 124 527 961 1054 1922 2108 3844 16337 32674 65348