Search a number
-
+
8329068 = 2235111941
BaseRepresentation
bin11111110001011101101100
3120200011100000
4133301131230
54113012233
6454304300
7130536666
oct37613554
916604300
108329068
114779830
122958090
131958157
14116b536
15ae7d13
hex7f176c

8329068 has 144 divisors (see below), whose sum is σ = 25683840. Its totient is φ = 2332800.

The previous prime is 8329067. The next prime is 8329073. The reversal of 8329068 is 8609238.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8329063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203128 + ... + 203168.

It is an arithmetic number, because the mean of its divisors is an integer number (178360).

Almost surely, 28329068 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 8329068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841920).

8329068 is an abundant number, since it is smaller than the sum of its proper divisors (17354772).

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

8329068 is a wasteful number, since it uses less digits than its factorization.

8329068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8329068 is about 2886.0124739855. The cubic root of 8329068 is about 202.7054704573.

The spelling of 8329068 in words is "eight million, three hundred twenty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 41 44 54 57 66 76 81 82 99 108 114 123 132 162 164 171 198 209 228 243 246 297 324 342 369 396 418 451 486 492 513 594 627 684 738 779 836 891 902 972 1026 1107 1188 1254 1353 1476 1539 1558 1782 1804 1881 2052 2214 2337 2508 2673 2706 3078 3116 3321 3564 3762 4059 4428 4617 4674 5346 5412 5643 6156 6642 7011 7524 8118 8569 9234 9348 9963 10692 11286 12177 13284 14022 16236 16929 17138 18468 19926 21033 22572 24354 25707 28044 33858 34276 36531 39852 42066 48708 50787 51414 63099 67716 73062 77121 84132 101574 102828 109593 126198 146124 154242 189297 203148 219186 231363 252396 308484 378594 438372 462726 694089 757188 925452 1388178 2082267 2776356 4164534 8329068