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134814208 = 291791471
BaseRepresentation
bin10000000100100…
…01101000000000
3100101200021022211
420002101220000
5234003023313
621213311504
73224621224
oct1002215000
9311607284
10134814208
116a10aa01
1239195594
1321c12b29
1413c94784
15bc7ee3d
hex8091a00

134814208 has 40 divisors (see below), whose sum is σ = 271054080. Its totient is φ = 66984960.

The previous prime is 134814181. The next prime is 134814221. The reversal of 134814208 is 802418431.

It is a self number, because there is not a number n which added to its sum of digits gives 134814208.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90913 + ... + 92383.

It is an arithmetic number, because the mean of its divisors is an integer number (6776352).

Almost surely, 2134814208 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 134814208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135527040).

134814208 is an abundant number, since it is smaller than the sum of its proper divisors (136239872).

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

134814208 is an equidigital number, since it uses as much as digits as its factorization.

134814208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 134814208 is about 11610.9520712128. The cubic root of 134814208 is about 512.7573427393.

It can be divided in two parts, 13481 and 4208, that added together give a square (17689 = 1332).

The spelling of 134814208 in words is "one hundred thirty-four million, eight hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 512 716 1432 1471 2864 2942 5728 5884 11456 11768 22912 23536 45824 47072 91648 94144 188288 263309 376576 526618 753152 1053236 2106472 4212944 8425888 16851776 33703552 67407104 134814208