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318318848 = 282953809
BaseRepresentation
bin10010111110010…
…010100100000000
3211011222021100222
4102332102210000
51122442200343
651330402212
710613444201
oct2276224400
9734867328
10318318848
11153756731
128a730368
1350c42c63
14303c15a8
151ce2ba68
hex12f92900

318318848 has 72 divisors (see below), whose sum is σ = 670534200. Its totient is φ = 150585344.

The previous prime is 318318839. The next prime is 318318859. The reversal of 318318848 is 848813813.

It can be written as a sum of positive squares in 4 ways, for example, as 143233024 + 175085824 = 11968^2 + 13232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 318318799 and 318318808.

It is an unprimeable number.

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, 393068 + ... + 393876.

It is an arithmetic number, because the mean of its divisors is an integer number (9312975).

Almost surely, 2318318848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335267100).

318318848 is an abundant number, since it is smaller than the sum of its proper divisors (352215352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

318318848 is an equidigital number, since it uses as much as digits as its factorization.

318318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 318318848 is about 17841.4923142656. The cubic root of 318318848 is about 682.7904709816.

The spelling of 318318848 in words is "three hundred eighteen million, three hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 232 256 424 464 809 848 928 1537 1618 1696 1856 3074 3236 3392 3712 6148 6472 6784 7424 12296 12944 13568 23461 24592 25888 42877 46922 49184 51776 85754 93844 98368 103552 171508 187688 196736 207104 343016 375376 393472 686032 750752 1243433 1372064 1501504 2486866 2744128 3003008 4973732 5488256 6006016 9947464 10976512 19894928 39789856 79579712 159159424 318318848