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34286168 = 23741109137
BaseRepresentation
bin1000001011001…
…0101001011000
32101111220210002
42002302221120
532234124133
63222512132
7564266450
oct202625130
971456702
1034286168
1118398784
12b595648
137145b97
1447a6d60
153023ce8
hex20b2a58

34286168 has 64 divisors (see below), whose sum is σ = 76507200. Its totient is φ = 14100480.

The previous prime is 34286159. The next prime is 34286191. The reversal of 34286168 is 86168243.

It is a happy number.

It is a super-2 number, since 2×342861682 = 2351082632248448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250196 + ... + 250332.

It is an arithmetic number, because the mean of its divisors is an integer number (1195425).

Almost surely, 234286168 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 34286168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38253600).

34286168 is an abundant number, since it is smaller than the sum of its proper divisors (42221032).

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

34286168 is a wasteful number, since it uses less digits than its factorization.

34286168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 34286168 is about 5855.4391807959. The cubic root of 34286168 is about 324.8675373400.

The spelling of 34286168 in words is "thirty-four million, two hundred eighty-six thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 41 56 82 109 137 164 218 274 287 328 436 548 574 763 872 959 1096 1148 1526 1918 2296 3052 3836 4469 5617 6104 7672 8938 11234 14933 17876 22468 29866 31283 35752 39319 44936 59732 62566 78638 104531 119464 125132 157276 209062 250264 314552 418124 612253 836248 1224506 2449012 4285771 4898024 8571542 17143084 34286168