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68166384 = 24311139931
BaseRepresentation
bin1000001000000…
…10001011110000
311202021012200220
410010002023300
5114422311014
610433013040
71455255546
oct404021360
9152235626
1068166384
1135529460
121a9b4180
1311179050
1490a5d96
155eb76a9
hex41022f0

68166384 has 80 divisors (see below), whose sum is σ = 206903424. Its totient is φ = 19065600.

The previous prime is 68166353. The next prime is 68166401. The reversal of 68166384 is 48366186.

It is a happy number.

It is a super-3 number, since 3×681663843 (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 1899 + ... + 11829.

Almost surely, 268166384 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 68166384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103451712).

68166384 is an abundant number, since it is smaller than the sum of its proper divisors (138737040).

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

68166384 is a wasteful number, since it uses less digits than its factorization.

68166384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9966 (or 9960 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 68166384 is about 8256.2935994307. The cubic root of 68166384 is about 408.4981420333.

The spelling of 68166384 in words is "sixty-eight million, one hundred sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 9931 19862 29793 39724 59586 79448 109241 119172 129103 158896 218482 238344 258206 327723 387309 436964 476688 516412 655446 774618 873928 1032824 1310892 1420133 1549236 1747856 2065648 2621784 2840266 3098472 4260399 5243568 5680532 6196944 8520798 11361064 17041596 22722128 34083192 68166384