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3408224381 is a prime number
BaseRepresentation
bin1100101100100101…
…0110000001111101
322210112011201220122
43023021112001331
523440001140011
61322110024325
7150313300142
oct31311260175
98715151818
103408224381
111499943471
127b14a80a5
13424145423
1424490c3c9
1514e32e3db
hexcb25607d

3408224381 has 2 divisors, whose sum is σ = 3408224382. Its totient is φ = 3408224380.

The previous prime is 3408224377. The next prime is 3408224423. The reversal of 3408224381 is 1834228043.

3408224381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3052562500 + 355661881 = 55250^2 + 18859^2 .

It is an emirp because it is prime and its reverse (1834228043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3408224381 - 22 = 3408224377 is a prime.

It is a super-3 number, since 3×34082243813 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3408220381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1704112190 + 1704112191.

It is an arithmetic number, because the mean of its divisors is an integer number (1704112191).

Almost surely, 23408224381 is an apocalyptic number.

It is an amenable number.

3408224381 is a deficient number, since it is larger than the sum of its proper divisors (1).

3408224381 is an equidigital number, since it uses as much as digits as its factorization.

3408224381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 3408224381 is about 58379.9998372730. Note that the first 3 decimals coincide. The cubic root of 3408224381 is about 1504.9060666973.

The spelling of 3408224381 in words is "three billion, four hundred eight million, two hundred twenty-four thousand, three hundred eighty-one".