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68810304 = 263443809
BaseRepresentation
bin1000001100111…
…11011001000000
311210110220222210
410012133121000
5120103412204
610454502120
71463610063
oct406373100
9153426883
1068810304
1135929222
121b064940
1311343174
1491d28da
156093389
hex419f640

68810304 has 56 divisors (see below), whose sum is σ = 182697120. Its totient is φ = 22856704.

The previous prime is 68810279. The next prime is 68810323. The reversal of 68810304 is 40301886.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84652 + ... + 85460.

Almost surely, 268810304 is an apocalyptic number.

68810304 is a gapful number since it is divisible by the number (64) 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 68810304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91348560).

68810304 is an abundant number, since it is smaller than the sum of its proper divisors (113886816).

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

68810304 is a wasteful number, since it uses less digits than its factorization.

68810304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 68810304 is about 8295.1976468316. The cubic root of 68810304 is about 409.7803781143.

The spelling of 68810304 in words is "sixty-eight million, eight hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 443 809 886 1329 1618 1772 2427 2658 3236 3544 4854 5316 6472 7088 9708 10632 12944 14176 19416 21264 25888 28352 38832 42528 51776 77664 85056 155328 358387 716774 1075161 1433548 2150322 2867096 4300644 5734192 8601288 11468384 17202576 22936768 34405152 68810304