Search a number
-
+
3362040313 is a prime number
BaseRepresentation
bin1100100001100100…
…1010100111111001
322200022021100021121
43020121022213321
523341140242223
61313340105241
7146212604542
oct31031124771
98608240247
103362040313
111475869715
12799b35221
134176c4b88
1423c7294c9
1514a25a15d
hexc864a9f9

3362040313 has 2 divisors, whose sum is σ = 3362040314. Its totient is φ = 3362040312.

The previous prime is 3362040301. The next prime is 3362040317. The reversal of 3362040313 is 3130402633.

3362040313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1719926784 + 1642113529 = 41472^2 + 40523^2 .

It is an emirp because it is prime and its reverse (3130402633) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3362040313 - 25 = 3362040281 is a prime.

It is a super-2 number, since 2×33620403132 = 22606630132474275938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3362040317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1681020156 + 1681020157.

It is an arithmetic number, because the mean of its divisors is an integer number (1681020157).

Almost surely, 23362040313 is an apocalyptic number.

It is an amenable number.

3362040313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3362040313 is an equidigital number, since it uses as much as digits as its factorization.

3362040313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 3362040313 is about 57983.1036854703. The cubic root of 3362040313 is about 1498.0775836331.

Adding to 3362040313 its reverse (3130402633), we get a palindrome (6492442946).

The spelling of 3362040313 in words is "three billion, three hundred sixty-two million, forty thousand, three hundred thirteen".