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318949813 = 7132535087
BaseRepresentation
bin10011000000101…
…100100110110101
3211020011022220001
4103000230212311
51123122343223
651352111301
710622012560
oct2300544665
9736138801
10318949813
11154047796
128a995531
1351104200
14305074d7
151d0039ad
hex1302c9b5

318949813 has 24 divisors (see below), whose sum is σ = 402236928. Its totient is φ = 247545792.

The previous prime is 318949747. The next prime is 318949823.

It is a happy number.

318949813 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 318949813 - 225 = 285395381 is a prime.

It is a super-3 number, since 3×3189498133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318949823) 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 23 ways as a sum of consecutive naturals, for example, 60156 + ... + 65242.

It is an arithmetic number, because the mean of its divisors is an integer number (16759872).

Almost surely, 2318949813 is an apocalyptic number.

It is an amenable number.

318949813 is a deficient number, since it is larger than the sum of its proper divisors (83287115).

318949813 is a wasteful number, since it uses less digits than its factorization.

318949813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5160 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 318949813 is about 17859.1660779556. The cubic root of 318949813 is about 683.2413109210.

It can be divided in two parts, 318 and 949813, that added together give a triangular number (950131 = T1378).

The spelling of 318949813 in words is "three hundred eighteen million, nine hundred forty-nine thousand, eight hundred thirteen".

Divisors: 1 7 13 53 91 169 371 689 1183 4823 5087 8957 35609 62699 66131 269611 462917 859703 1887277 3504943 6017921 24534601 45564259 318949813