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2038347401 is a prime number
BaseRepresentation
bin111100101111110…
…1011011010001001
312021001111202222012
41321133223122021
513133304104101
6534132505305
7101340444536
oct17137533211
95231452865
102038347401
11956659632
1248a77b235
132663b292c
141549dbd8d
15bde39bbb
hex797eb689

2038347401 has 2 divisors, whose sum is σ = 2038347402. Its totient is φ = 2038347400.

The previous prime is 2038347383. The next prime is 2038347419. The reversal of 2038347401 is 1047438302.

2038347401 = 319242 + 319252.

It is a balanced prime because it is at equal distance from previous prime (2038347383) and next prime (2038347419).

It can be written as a sum of positive squares in only one way, i.e., 1019205625 + 1019141776 = 31925^2 + 31924^2 .

It is a cyclic number.

It is not a de Polignac number, because 2038347401 - 226 = 1971238537 is a prime.

It is not a weakly prime, because it can be changed into another prime (2038347461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1019173700 + 1019173701.

It is an arithmetic number, because the mean of its divisors is an integer number (1019173701).

Almost surely, 22038347401 is an apocalyptic number.

2038347401 is the 31925-th centered square number.

It is an amenable number.

2038347401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2038347401 is an equidigital number, since it uses as much as digits as its factorization.

2038347401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2038347401 is about 45148.0608775172. The cubic root of 2038347401 is about 1267.9225757291.

Subtracting from 2038347401 its reverse (1047438302), we obtain a palindrome (990909099).

The spelling of 2038347401 in words is "two billion, thirty-eight million, three hundred forty-seven thousand, four hundred one".