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667309344 = 25313241131
BaseRepresentation
bin100111110001100…
…101010100100000
31201111122211022220
4213301211110200
52331312344334
6150114431040
722352015202
oct4761452440
91644584286
10667309344
11312751429
12167592480
13a8334800
14648a8772
153d8b6449
hex27c65520

667309344 has 72 divisors (see below), whose sum is σ = 1896843312. Its totient is φ = 205320960.

The previous prime is 667309283. The next prime is 667309367. The reversal of 667309344 is 443903766.

It is a junction number, because it is equal to n+sod(n) for n = 667309296 and 667309305.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4342 + ... + 36789.

It is an arithmetic number, because the mean of its divisors is an integer number (26345046).

Almost surely, 2667309344 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 667309344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948421656).

667309344 is an abundant number, since it is smaller than the sum of its proper divisors (1229533968).

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

667309344 is a wasteful number, since it uses less digits than its factorization.

667309344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41170 (or 41149 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 667309344 is about 25832.3313698164. The cubic root of 667309344 is about 873.8610897617.

The spelling of 667309344 in words is "six hundred sixty-seven million, three hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 16224 41131 82262 123393 164524 246786 329048 493572 534703 658096 987144 1069406 1316192 1604109 1974288 2138812 3208218 3948576 4277624 6416436 6951139 8555248 12832872 13902278 17110496 20853417 25665744 27804556 41706834 51331488 55609112 83413668 111218224 166827336 222436448 333654672 667309344