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67768349 = 1123715137
BaseRepresentation
bin1000000101000…
…01000000011101
311201111222200212
410002201000131
5114322041344
610420302205
71452010235
oct402410035
9151458625
1067768349
1135287400
121a841965
1311069b1c
149000cc5
155e3979e
hex40a101d

67768349 has 12 divisors (see below), whose sum is σ = 76507452. Its totient is φ = 59938560.

The previous prime is 67768321. The next prime is 67768357. The reversal of 67768349 is 94386776.

It can be written as a sum of positive squares in 2 ways, for example, as 51912025 + 15856324 = 7205^2 + 3982^2 .

It is not a de Polignac number, because 67768349 - 28 = 67768093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67768297 and 67768306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67768369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3092 + ... + 12045.

It is an arithmetic number, because the mean of its divisors is an integer number (6375621).

Almost surely, 267768349 is an apocalyptic number.

It is an amenable number.

67768349 is a deficient number, since it is larger than the sum of its proper divisors (8739103).

67768349 is a wasteful number, since it uses less digits than its factorization.

67768349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15196 (or 15185 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 67768349 is about 8232.1533634888. The cubic root of 67768349 is about 407.7014929360.

The spelling of 67768349 in words is "sixty-seven million, seven hundred sixty-eight thousand, three hundred forty-nine".

Divisors: 1 11 37 121 407 4477 15137 166507 560069 1831577 6160759 67768349