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742044313 is a prime number
BaseRepresentation
bin101100001110101…
…011001010011001
31220201021202102201
4230032223022121
53004430404223
6201344330201
724250162333
oct5416531231
91821252381
10742044313
1135095696a
12188613961
13ba97059a
14707a0453
1545229ead
hex2c3ab299

742044313 has 2 divisors, whose sum is σ = 742044314. Its totient is φ = 742044312.

The previous prime is 742044311. The next prime is 742044349. The reversal of 742044313 is 313440247.

742044313 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., 704000089 + 38044224 = 26533^2 + 6168^2 .

It is an emirp because it is prime and its reverse (313440247) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 742044313 - 21 = 742044311 is a prime.

Together with 742044311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (742044311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371022156 + 371022157.

It is an arithmetic number, because the mean of its divisors is an integer number (371022157).

Almost surely, 2742044313 is an apocalyptic number.

It is an amenable number.

742044313 is a deficient number, since it is larger than the sum of its proper divisors (1).

742044313 is an equidigital number, since it uses as much as digits as its factorization.

742044313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 742044313 is about 27240.4903223125. The cubic root of 742044313 is about 905.3363270768.

It can be divided in two parts, 7 and 42044313, that multiplied together give a triangular number (294310191 = T24261).

The spelling of 742044313 in words is "seven hundred forty-two million, forty-four thousand, three hundred thirteen".