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68318334 = 23271314139
BaseRepresentation
bin1000001001001…
…11010001111110
311202112221010200
410010213101332
5114442141314
610440144330
71456460550
oct404472176
9152487120
1068318334
1135622637
121aa680a6
1311200266
1491054d0
155ee7709
hex412747e

68318334 has 48 divisors (see below), whose sum is σ = 170501760. Its totient is φ = 19365840.

The previous prime is 68318329. The next prime is 68318339. The reversal of 68318334 is 43381386.

It is a happy number.

68318334 is a `hidden beast` number, since 6 + 8 + 318 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (68318329) and next prime (68318339).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68318339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14437 + ... + 18575.

It is an arithmetic number, because the mean of its divisors is an integer number (3552120).

Almost surely, 268318334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68318334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85250880).

68318334 is an abundant number, since it is smaller than the sum of its proper divisors (102183426).

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

68318334 is a wasteful number, since it uses less digits than its factorization.

68318334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4282 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 68318334 is about 8265.4905480558. The cubic root of 68318334 is about 408.8014451423.

The spelling of 68318334 in words is "sixty-eight million, three hundred eighteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 4139 5502 8253 8278 12417 16506 24834 28973 37251 57946 74502 86919 173838 260757 521514 542209 1084418 1626627 3253254 3795463 4879881 7590926 9759762 11386389 22772778 34159167 68318334