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313066433 = 9714921661
BaseRepresentation
bin10010101010010…
…000001111000001
3210211002102102002
4102222100033001
51120121111213
651022033345
710521010061
oct2252201701
9724072362
10313066433
11150799499
1288a18855
134cb24314
142d8153a1
151c740658
hex12a903c1

313066433 has 8 divisors (see below), whose sum is σ = 318431400. Its totient is φ = 307745280.

The previous prime is 313066423. The next prime is 313066451. The reversal of 313066433 is 334660313.

It can be written as a sum of positive squares in 4 ways, for example, as 908209 + 312158224 = 953^2 + 17668^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313066433 - 210 = 313065409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313066396 and 313066405.

It is not an unprimeable number, because it can be changed into a prime (313066423) 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 7 ways as a sum of consecutive naturals, for example, 3623 + ... + 25283.

It is an arithmetic number, because the mean of its divisors is an integer number (39803925).

Almost surely, 2313066433 is an apocalyptic number.

It is an amenable number.

313066433 is a deficient number, since it is larger than the sum of its proper divisors (5364967).

313066433 is a wasteful number, since it uses less digits than its factorization.

313066433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21907.

The product of its (nonzero) digits is 11664, while the sum is 29.

The square root of 313066433 is about 17693.6834209274. The cubic root of 313066433 is about 679.0141661958.

The spelling of 313066433 in words is "three hundred thirteen million, sixty-six thousand, four hundred thirty-three".

Divisors: 1 97 149 14453 21661 2101117 3227489 313066433