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68364 = 2234211
BaseRepresentation
bin10000101100001100
310110210000
4100230030
54141424
61244300
7403212
oct205414
9113700
1068364
11473aa
1233690
132516a
141acb2
15153c9
hex10b0c

68364 has 30 divisors (see below), whose sum is σ = 179564. Its totient is φ = 22680.

The previous prime is 68351. The next prime is 68371. The reversal of 68364 is 46386.

It can be divided in two parts, 683 and 64, that added together give a palindrome (747).

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

Its product of digits (3456) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 219 + ... + 429.

268364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89782).

68364 is an abundant number, since it is smaller than the sum of its proper divisors (111200).

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

68364 is a wasteful number, since it uses less digits than its factorization.

68364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 68364 is about 261.4651028340. The cubic root of 68364 is about 40.8892509857.

The spelling of 68364 in words is "sixty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 324 422 633 844 1266 1899 2532 3798 5697 7596 11394 17091 22788 34182 68364