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68382336 = 2731116189
BaseRepresentation
bin1000001001101…
…10111010000000
311202200011221010
410010312322000
5120001213321
610441400520
71460145261
oct404667200
9152604833
1068382336
1135666730
121aa99140
1311223429
149120968
15600b676
hex4136e80

68382336 has 64 divisors (see below), whose sum is σ = 198165600. Its totient is φ = 20720640.

The previous prime is 68382323. The next prime is 68382337. The reversal of 68382336 is 63328386.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×683823362 = 9352287753633792, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 68382294 and 68382303.

It is not an unprimeable number, because it can be changed into a prime (68382337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3871 + ... + 12318.

Almost surely, 268382336 is an apocalyptic number.

68382336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

68382336 is an abundant number, since it is smaller than the sum of its proper divisors (129783264).

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

68382336 is a wasteful number, since it uses less digits than its factorization.

68382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16217 (or 16205 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 68382336 is about 8269.3612812599. The cubic root of 68382336 is about 408.9290631254.

The spelling of 68382336 in words is "sixty-eight million, three hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 16189 32378 48567 64756 97134 129512 178079 194268 259024 356158 388536 518048 534237 712316 777072 1036096 1068474 1424632 1554144 2072192 2136948 2849264 3108288 4273896 5698528 6216576 8547792 11397056 17095584 22794112 34191168 68382336