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8343684 = 2232534373
BaseRepresentation
bin11111110101000010000100
3120200220101100
4133311002010
54113444214
6454500100
7130630416
oct37650204
916626340
108343684
114789808
122964630
1319619bb
1411729b6
15aec309
hex7f5084

8343684 has 36 divisors (see below), whose sum is σ = 21493836. Its totient is φ = 2728128.

The previous prime is 8343667. The next prime is 8343703. The reversal of 8343684 is 4863438.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 2924100 = 2328^2 + 1710^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 279 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (597051).

Almost surely, 28343684 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 8343684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746918).

8343684 is an abundant number, since it is smaller than the sum of its proper divisors (13150152).

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

8343684 is a wasteful number, since it uses less digits than its factorization.

8343684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4431 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 8343684 is about 2888.5435776529. The cubic root of 8343684 is about 202.8239715837.

It can be divided in two parts, 8 and 343684, that multiplied together give a palindrome (2749472).

The spelling of 8343684 in words is "eight million, three hundred forty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 4373 8746 13119 17492 26238 39357 52476 78714 157428 231769 463538 695307 927076 1390614 2085921 2781228 4171842 8343684