Search a number
-
+
864340248 = 2331719432593
BaseRepresentation
bin110011100001001…
…100100100011000
32020020102000220210
4303201030210120
53232232341443
6221433451120
730263525262
oct6341144430
92206360823
10864340248
11403996692
12201570aa0
1310a0bc545
1482b16b32
1550d35c33
hex3384c918

864340248 has 128 divisors (see below), whose sum is σ = 2465337600. Its totient is φ = 250822656.

The previous prime is 864340241. The next prime is 864340249. The reversal of 864340248 is 842043468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864340241) 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, 332040 + ... + 334632.

It is an arithmetic number, because the mean of its divisors is an integer number (19260450).

Almost surely, 2864340248 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 864340248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232668800).

864340248 is an abundant number, since it is smaller than the sum of its proper divisors (1600997352).

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

864340248 is a wasteful number, since it uses less digits than its factorization.

864340248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 864340248 is about 29399.6640797136. The cubic root of 864340248 is about 952.5656402432.

The spelling of 864340248 in words is "eight hundred sixty-four million, three hundred forty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 43 51 57 68 76 86 102 114 129 136 152 172 204 228 258 323 344 408 456 516 646 731 817 969 1032 1292 1462 1634 1938 2193 2451 2584 2593 2924 3268 3876 4386 4902 5186 5848 6536 7752 7779 8772 9804 10372 13889 15558 17544 19608 20744 27778 31116 41667 44081 49267 55556 62232 83334 88162 98534 111112 111499 132243 147801 166668 176324 197068 222998 264486 295602 333336 334497 352648 394136 445996 528972 591204 668994 837539 891992 1057944 1182408 1337988 1675078 1895483 2118481 2512617 2675976 3350156 3790966 4236962 5025234 5686449 6355443 6700312 7581932 8473924 10050468 11372898 12710886 15163864 16947848 20100936 22745796 25421772 36014177 45491592 50843544 72028354 108042531 144056708 216085062 288113416 432170124 864340248