Search a number
-
+
3400413013 is a prime number
BaseRepresentation
bin1100101010101110…
…0010111101010101
322202222110212201201
43022223202331111
523431001204023
61321230352501
7150160014364
oct31253427525
98688425651
103400413013
111495498698
127aa95b731
1342263bb0a
142438777db
1514d7d9bad
hexcaae2f55

3400413013 has 2 divisors, whose sum is σ = 3400413014. Its totient is φ = 3400413012.

The previous prime is 3400412993. The next prime is 3400413031. The reversal of 3400413013 is 3103140043.

Together with next prime (3400413031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3035679409 + 364733604 = 55097^2 + 19098^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3400413013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3400413113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700206506 + 1700206507.

It is an arithmetic number, because the mean of its divisors is an integer number (1700206507).

Almost surely, 23400413013 is an apocalyptic number.

It is an amenable number.

3400413013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3400413013 is an equidigital number, since it uses as much as digits as its factorization.

3400413013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3400413013 is about 58313.0603981647. The cubic root of 3400413013 is about 1503.7554805453.

Adding to 3400413013 its reverse (3103140043), we get a palindrome (6503553056).

The spelling of 3400413013 in words is "three billion, four hundred million, four hundred thirteen thousand, thirteen".