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65344 = 261021
BaseRepresentation
bin1111111101000000
310022122011
433331000
54042334
61222304
7361336
oct177500
9108564
1065344
1145104
1231994
1323986
1419b56
1514564
hexff40

65344 has 14 divisors (see below), whose sum is σ = 129794. Its totient is φ = 32640.

The previous prime is 65327. The next prime is 65353. The reversal of 65344 is 44356.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 7744 = 240^2 + 88^2 .

It is an Ulam number.

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 447 + ... + 574.

It is an arithmetic number, because the mean of its divisors is an integer number (9271).

65344 is a Friedman number, since it can be written as 64*(4^5-3), using all its digits and the basic arithmetic operations.

265344 is an apocalyptic number.

65344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65344 is a deficient number, since it is larger than the sum of its proper divisors (64450).

65344 is a wasteful number, since it uses less digits than its factorization.

65344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1023 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 65344 is about 255.6247249387. The cubic root of 65344 is about 40.2780625514.

The spelling of 65344 in words is "sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 1021 2042 4084 8168 16336 32672 65344