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3749400313 is a prime number
BaseRepresentation
bin1101111101111011…
…0100111011111001
3100200022011021022021
43133132310323321
530134321302223
61420014354441
7161625243151
oct33736647371
910608137267
103749400313
111654490a4a
128877bba21
13479a2c089
14277d5d761
1516e27365d
hexdf7b4ef9

3749400313 has 2 divisors, whose sum is σ = 3749400314. Its totient is φ = 3749400312.

The previous prime is 3749400311. The next prime is 3749400341. The reversal of 3749400313 is 3130049473.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3155405929 + 593994384 = 56173^2 + 24372^2 .

It is a cyclic number.

It is not a de Polignac number, because 3749400313 - 21 = 3749400311 is a prime.

Together with 3749400311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3749400311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1874700156 + 1874700157.

It is an arithmetic number, because the mean of its divisors is an integer number (1874700157).

Almost surely, 23749400313 is an apocalyptic number.

It is an amenable number.

3749400313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3749400313 is an equidigital number, since it uses as much as digits as its factorization.

3749400313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 3749400313 is about 61232.3469499577. The cubic root of 3749400313 is about 1553.5334322535.

Adding to 3749400313 its reverse (3130049473), we get a palindrome (6879449786).

The spelling of 3749400313 in words is "three billion, seven hundred forty-nine million, four hundred thousand, three hundred thirteen".