Search a number
-
+
67000379 is a prime number
BaseRepresentation
bin1111111110010…
…1100000111011
311200001222020112
43333211200323
5114123003004
610352014535
71442331245
oct377454073
9150058215
1067000379
1134902416
121a53144b
1310b5b3c4
148c81095
155d36e6e
hex3fe583b

67000379 has 2 divisors, whose sum is σ = 67000380. Its totient is φ = 67000378.

The previous prime is 67000337. The next prime is 67000391. The reversal of 67000379 is 97300076.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 67000379 - 28 = 67000123 is a prime.

It is a super-2 number, since 2×670003792 = 8978101572287282, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (67000309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33500189 + 33500190.

It is an arithmetic number, because the mean of its divisors is an integer number (33500190).

Almost surely, 267000379 is an apocalyptic number.

67000379 is a deficient number, since it is larger than the sum of its proper divisors (1).

67000379 is an equidigital number, since it uses as much as digits as its factorization.

67000379 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 67000379 is about 8185.3759229494. The cubic root of 67000379 is about 406.1555758773.

The spelling of 67000379 in words is "sixty-seven million, three hundred seventy-nine", and thus it is an aban number.