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303341313 = 31125315767
BaseRepresentation
bin10010000101001…
…001111100000001
3210010210100001110
4102011021330001
51110123410223
650033353533
710342234002
oct2205117401
9703710043
10303341313
11146256900
12857088a9
134aaca902
142c4031a9
151b96dd93
hex12149f01

303341313 has 24 divisors (see below), whose sum is σ = 452983104. Its totient is φ = 180363040.

The previous prime is 303341303. The next prime is 303341317. The reversal of 303341313 is 313143303.

It is not a de Polignac number, because 303341313 - 29 = 303340801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 303341313.

It is not an unprimeable number, because it can be changed into a prime (303341317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11356 + ... + 27122.

It is an arithmetic number, because the mean of its divisors is an integer number (18874296).

Almost surely, 2303341313 is an apocalyptic number.

303341313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

303341313 is a deficient number, since it is larger than the sum of its proper divisors (149641791).

303341313 is a wasteful number, since it uses less digits than its factorization.

303341313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15845 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 303341313 is about 17416.6963859396. The cubic root of 303341313 is about 671.9090965296.

Adding to 303341313 its reverse (313143303), we get a palindrome (616484616).

The spelling of 303341313 in words is "three hundred three million, three hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 11 33 53 121 159 363 583 1749 6413 15767 19239 47301 173437 520311 835651 1907807 2506953 5723421 9192161 27576483 101113771 303341313