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65034 = 2323613
BaseRepresentation
bin1111111000001010
310022012200
433320022
54040114
61221030
7360414
oct177012
9108180
1065034
1144952
1231776
13237a8
14199b4
1514409
hexfe0a

65034 has 12 divisors (see below), whose sum is σ = 140946. Its totient is φ = 21672.

The previous prime is 65033. The next prime is 65053. The reversal of 65034 is 43056.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 9 = 255^2 + 3^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3613 = 65034 / (6 + 5 + 0 + 3 + 4).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64998 and 65016.

It is not an unprimeable number, because it can be changed into a prime (65033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1789 + ... + 1824.

265034 is an apocalyptic number.

65034 is an abundant number, since it is smaller than the sum of its proper divisors (75912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65034 is a wasteful number, since it uses less digits than its factorization.

65034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 65034 is about 255.0176464482. The cubic root of 65034 is about 40.2142668601.

The spelling of 65034 in words is "sixty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 3613 7226 10839 21678 32517 65034