Search a number
-
+
68306392 = 2373113173
BaseRepresentation
bin1000001001001…
…00010111011000
311202112022202101
410010210113120
5114441301032
610440013144
71456411000
oct404442730
9152468671
1068306392
1135614670
121aa611b4
13111c79ab
149101000
155ee3de7
hex41245d8

68306392 has 128 divisors (see below), whose sum is σ = 170496000. Its totient is φ = 25401600.

The previous prime is 68306377. The next prime is 68306393. The reversal of 68306392 is 29360386.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68306393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935668 + ... + 935740.

It is an arithmetic number, because the mean of its divisors is an integer number (1332000).

Almost surely, 268306392 is an apocalyptic number.

68306392 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68306392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85248000).

68306392 is an abundant number, since it is smaller than the sum of its proper divisors (102189608).

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

68306392 is a wasteful number, since it uses less digits than its factorization.

68306392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 68306392 is about 8264.7681153194. The cubic root of 68306392 is about 408.7776243461. Note that the first 3 decimals are identical.

The spelling of 68306392 in words is "sixty-eight million, three hundred six thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 49 56 62 73 77 88 98 124 146 154 196 217 248 292 308 341 343 392 434 511 539 584 616 682 686 803 868 1022 1078 1364 1372 1519 1606 1736 2044 2156 2263 2387 2728 2744 3038 3212 3577 3773 4088 4312 4526 4774 5621 6076 6424 7154 7546 9052 9548 10633 11242 12152 14308 15092 15841 16709 18104 19096 21266 22484 24893 25039 28616 30184 31682 33418 39347 42532 44968 49786 50078 63364 66836 78694 85064 99572 100156 110887 116963 126728 133672 157388 174251 199144 200312 221774 233926 275429 314776 348502 443548 467852 550858 697004 776209 887096 935704 1101716 1219757 1394008 1552418 2203432 2439514 3104836 4879028 6209672 8538299 9758056 17076598 34153196 68306392