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314320041 = 3376132713
BaseRepresentation
bin10010101111000…
…010010010101001
3210220110010001000
4102233002102221
51120431220131
651104545213
710534450650
oct2257022251
9726403030
10314320041
11151475332
1289322209
1350172ab9
142da60197
151c8dbce6
hex12bc24a9

314320041 has 32 divisors (see below), whose sum is σ = 533246720. Its totient is φ = 179252352.

The previous prime is 314320031. The next prime is 314320043. The reversal of 314320041 is 140023413.

It is not a de Polignac number, because 314320041 - 26 = 314319977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314319996 and 314320023.

It is not an unprimeable number, because it can be changed into a prime (314320043) 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 in 31 ways as a sum of consecutive naturals, for example, 114501 + ... + 117213.

It is an arithmetic number, because the mean of its divisors is an integer number (16663960).

Almost surely, 2314320041 is an apocalyptic number.

It is an amenable number.

314320041 is a deficient number, since it is larger than the sum of its proper divisors (218926679).

314320041 is a wasteful number, since it uses less digits than its factorization.

314320041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314320041 is about 17729.0733260371. The cubic root of 314320041 is about 679.9192817972.

Adding to 314320041 its reverse (140023413), we get a palindrome (454343454).

The spelling of 314320041 in words is "three hundred fourteen million, three hundred twenty thousand, forty-one".

Divisors: 1 3 7 9 21 27 63 189 613 1839 2713 4291 5517 8139 12873 16551 18991 24417 38619 56973 73251 115857 170919 512757 1663069 4989207 11641483 14967621 34924449 44902863 104773347 314320041