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3420414001 is a prime number
BaseRepresentation
bin1100101111011111…
…0110000000110001
322211101010000221001
43023313312000301
524001111222001
61323223202001
7150522016324
oct31367660061
98741100831
103420414001
1114a5809734
127b55a6301
13426822814
142463a27bb
1515043b001
hexcbdf6031

3420414001 has 2 divisors, whose sum is σ = 3420414002. Its totient is φ = 3420414000.

The previous prime is 3420413959. The next prime is 3420414013. The reversal of 3420414001 is 1004140243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1907592976 + 1512821025 = 43676^2 + 38895^2 .

It is a cyclic number.

It is not a de Polignac number, because 3420414001 - 221 = 3418316849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3420414001.

It is not a weakly prime, because it can be changed into another prime (3420414071) 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, 1710207000 + 1710207001.

It is an arithmetic number, because the mean of its divisors is an integer number (1710207001).

Almost surely, 23420414001 is an apocalyptic number.

It is an amenable number.

3420414001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3420414001 is an equidigital number, since it uses as much as digits as its factorization.

3420414001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3420414001 is about 58484.3055956040. The cubic root of 3420414001 is about 1506.6980464125.

Adding to 3420414001 its reverse (1004140243), we get a palindrome (4424554244).

It can be divided in two parts, 34204 and 14001, that added together give a triangular number (48205 = T310).

The spelling of 3420414001 in words is "three billion, four hundred twenty million, four hundred fourteen thousand, one".