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68640417 = 3231347709
BaseRepresentation
bin1000001011101…
…01111010100001
311210011021221200
410011311322201
5120032443132
610451111413
71462301556
oct405657241
9153137850
1068640417
113582261a
121aba2569
13112b3a41
14918aa2d
15605cd7c
hex4175ea1

68640417 has 24 divisors (see below), whose sum is σ = 102785280. Its totient is φ = 44094240.

The previous prime is 68640413. The next prime is 68640421. The reversal of 68640417 is 71404686.

68640417 is a `hidden beast` number, since 6 + 8 + 640 + 4 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (68640413) and next prime (68640421).

It is not a de Polignac number, because 68640417 - 22 = 68640413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68640413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96459 + ... + 97167.

It is an arithmetic number, because the mean of its divisors is an integer number (4282720).

Almost surely, 268640417 is an apocalyptic number.

It is an amenable number.

68640417 is a deficient number, since it is larger than the sum of its proper divisors (34144863).

68640417 is a wasteful number, since it uses less digits than its factorization.

68640417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68640417 is about 8284.9512370321. The cubic root of 68640417 is about 409.4428621411.

The spelling of 68640417 in words is "sixty-eight million, six hundred forty thousand, four hundred seventeen".

Divisors: 1 3 9 31 93 279 347 709 1041 2127 3123 6381 10757 21979 32271 65937 96813 197811 246023 738069 2214207 7626713 22880139 68640417