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268308684 = 223275320089
BaseRepresentation
bin11111111111000…
…01000011001100
3200200212111022200
433333201003030
51022141334214
642342441500
76435405030
oct1777410314
9620774280
10268308684
111284a9316
1275a33290
1343783047
14278c41c0
151884dd09
hexffe10cc

268308684 has 72 divisors (see below), whose sum is σ = 789778080. Its totient is φ = 75209472.

The previous prime is 268308659. The next prime is 268308697. The reversal of 268308684 is 486803862.

It is a happy number.

268308684 is a `hidden beast` number, since 268 + 308 + 6 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3312 + ... + 23400.

It is an arithmetic number, because the mean of its divisors is an integer number (10969140).

Almost surely, 2268308684 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 268308684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394889040).

268308684 is an abundant number, since it is smaller than the sum of its proper divisors (521469396).

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

268308684 is a wasteful number, since it uses less digits than its factorization.

268308684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20159 (or 20154 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 268308684 is about 16380.1307687088. The cubic root of 268308684 is about 644.9780125910.

The spelling of 268308684 in words is "two hundred sixty-eight million, three hundred eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356 20089 40178 60267 80356 120534 140623 180801 241068 281246 361602 421869 562492 723204 843738 1064717 1265607 1687476 2129434 2531214 3194151 4258868 5062428 6388302 7453019 9582453 12776604 14906038 19164906 22359057 29812076 38329812 44718114 67077171 89436228 134154342 268308684