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3400077313 is a prime number
BaseRepresentation
bin1100101010101001…
…0001000000000001
322202221211211020101
43022222101000001
523430404433223
61321215242401
7150154115563
oct31252210001
98687754211
103400077313
111495289456
127aa819401
13422552089
142437cb333
1514d7704ad
hexcaa91001

3400077313 has 2 divisors, whose sum is σ = 3400077314. Its totient is φ = 3400077312.

The previous prime is 3400077293. The next prime is 3400077319. The reversal of 3400077313 is 3137700043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2260812304 + 1139265009 = 47548^2 + 33753^2 .

It is a cyclic number.

It is not a de Polignac number, because 3400077313 - 213 = 3400069121 is a prime.

It is not a weakly prime, because it can be changed into another prime (3400077319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700038656 + 1700038657.

It is an arithmetic number, because the mean of its divisors is an integer number (1700038657).

Almost surely, 23400077313 is an apocalyptic number.

It is an amenable number.

3400077313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3400077313 is an equidigital number, since it uses as much as digits as its factorization.

3400077313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 3400077313 is about 58310.1818981900. The cubic root of 3400077313 is about 1503.7059936814.

Adding to 3400077313 its reverse (3137700043), we get a palindrome (6537777356).

The spelling of 3400077313 in words is "three billion, four hundred million, seventy-seven thousand, three hundred thirteen".