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3340400249 is a prime number
BaseRepresentation
bin1100011100011010…
…0111011001111001
322121210112220200202
43013012213121321
523320120301444
61311244211545
7145530635144
oct30706473171
98553486622
103340400249
11146462916a
12792839bb5
134130890c4
142398d505b
151483d334e
hexc71a7679

3340400249 has 2 divisors, whose sum is σ = 3340400250. Its totient is φ = 3340400248.

The previous prime is 3340400201. The next prime is 3340400263. The reversal of 3340400249 is 9420040433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2964040249 + 376360000 = 54443^2 + 19400^2 .

It is an emirp because it is prime and its reverse (9420040433) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3340400249 is a prime.

It is a super-3 number, since 3×33404002493 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (3340400549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1670200124 + 1670200125.

It is an arithmetic number, because the mean of its divisors is an integer number (1670200125).

Almost surely, 23340400249 is an apocalyptic number.

It is an amenable number.

3340400249 is a deficient number, since it is larger than the sum of its proper divisors (1).

3340400249 is an equidigital number, since it uses as much as digits as its factorization.

3340400249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 3340400249 is about 57796.1958004158. The cubic root of 3340400249 is about 1494.8564940197.

The spelling of 3340400249 in words is "three billion, three hundred forty million, four hundred thousand, two hundred forty-nine".