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348867684 = 22321122832
BaseRepresentation
bin10100110010110…
…100110001100100
3220022110022111100
4110302310301210
51203302231214
654341240100
711434216644
oct2462646144
9808408440
10348867684
11169a21500
1298a03030
135737a9a9
1434494524
1520963309
hex14cb4c64

348867684 has 81 divisors (see below), whose sum is σ = 972754419. Its totient is φ = 105343920.

The previous prime is 348867679. The next prime is 348867719. The reversal of 348867684 is 486768843.

The square root of 348867684 is 18678.

It is a perfect power (a square), and thus also a powerful number.

348867684 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 348867684.

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 26 ways as a sum of consecutive naturals, for example, 1232607 + ... + 1232889.

Almost surely, 2348867684 is an apocalyptic number.

348867684 is the 18678-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348867684

348867684 is an abundant number, since it is smaller than the sum of its proper divisors (623886735).

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

348867684 is a wasteful number, since it uses less digits than its factorization.

348867684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The cubic root of 348867684 is about 703.9690741623.

The spelling of 348867684 in words is "three hundred forty-eight million, eight hundred sixty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 283 363 396 484 566 726 849 1089 1132 1452 1698 2178 2547 3113 3396 4356 5094 6226 9339 10188 12452 18678 28017 34243 37356 56034 68486 80089 102729 112068 136972 160178 205458 240267 308187 320356 410916 480534 616374 720801 880979 961068 1232748 1441602 1761958 2642937 2883204 3523916 5285874 7928811 9690769 10571748 15857622 19381538 29072307 31715244 38763076 58144614 87216921 116289228 174433842 348867684