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3814387201 is a prime number
BaseRepresentation
bin1110001101011010…
…1110111000000001
3100211211102221120001
43203112232320001
530302440342301
61430255320001
7163344520252
oct34326567001
910754387501
103814387201
111688138619
128a5520001
1348a333b61
14282838b29
15174d0dc01
hexe35aee01

3814387201 has 2 divisors, whose sum is σ = 3814387202. Its totient is φ = 3814387200.

The previous prime is 3814387193. The next prime is 3814387261. The reversal of 3814387201 is 1027834183.

3814387201 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., 3384446976 + 429940225 = 58176^2 + 20735^2 .

It is a cyclic number.

It is not a de Polignac number, because 3814387201 - 23 = 3814387193 is a prime.

It is a super-2 number, since 2×38143872012 = 29099099438305228802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3814387261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1907193600 + 1907193601.

It is an arithmetic number, because the mean of its divisors is an integer number (1907193601).

Almost surely, 23814387201 is an apocalyptic number.

It is an amenable number.

3814387201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3814387201 is an equidigital number, since it uses as much as digits as its factorization.

3814387201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 3814387201 is about 61760.7253924369. The cubic root of 3814387201 is about 1562.4576646962.

The spelling of 3814387201 in words is "three billion, eight hundred fourteen million, three hundred eighty-seven thousand, two hundred one".