Search a number
-
+
68034 = 23172329
BaseRepresentation
bin10000100111000010
310110022210
4100213002
54134114
61242550
7402231
oct204702
9113283
1068034
114712a
1233456
1324c75
141ab18
1515259
hex109c2

68034 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 19712.

The previous prime is 68023. The next prime is 68041. The reversal of 68034 is 43086.

It is a Curzon number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 68034.

It is a congruent number.

It is an unprimeable number.

68034 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 15 ways as a sum of consecutive naturals, for example, 2332 + ... + 2360.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

268034 is an apocalyptic number.

68034 is an abundant number, since it is smaller than the sum of its proper divisors (87486).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

68034 is a wasteful number, since it uses less digits than its factorization.

68034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 68034 is about 260.8332800852. The cubic root of 68034 is about 40.8233526442.

The spelling of 68034 in words is "sixty-eight thousand, thirty-four".

Divisors: 1 2 3 6 17 23 29 34 46 51 58 69 87 102 138 174 391 493 667 782 986 1173 1334 1479 2001 2346 2958 4002 11339 22678 34017 68034