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3378758401 is a prime number
BaseRepresentation
bin1100100101100011…
…1100001100000001
322201110201201012001
43021120330030001
523404430232101
61315134304001
7146504654404
oct31130741401
98643651161
103378758401
111484248217
127a3658001
1341acc9535
14240a3bd3b
1514b95d901
hexc963c301

3378758401 has 2 divisors, whose sum is σ = 3378758402. Its totient is φ = 3378758400.

The previous prime is 3378758399. The next prime is 3378758423. The reversal of 3378758401 is 1048578733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2582164225 + 796594176 = 50815^2 + 28224^2 .

It is a cyclic number.

It is not a de Polignac number, because 3378758401 - 21 = 3378758399 is a prime.

It is a super-2 number, since 2×33787584012 = 22832016664656153602, which contains 22 as substring.

Together with 3378758399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3378758501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1689379200 + 1689379201.

It is an arithmetic number, because the mean of its divisors is an integer number (1689379201).

Almost surely, 23378758401 is an apocalyptic number.

It is an amenable number.

3378758401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3378758401 is an equidigital number, since it uses as much as digits as its factorization.

3378758401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 3378758401 is about 58127.0883581829. The cubic root of 3378758401 is about 1500.5565935917.

The spelling of 3378758401 in words is "three billion, three hundred seventy-eight million, seven hundred fifty-eight thousand, four hundred one".