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8344116 = 223211191109
BaseRepresentation
bin11111110101001000110100
3120200220222100
4133311020310
54114002431
6454502100
7130631604
oct37651064
916626870
108344116
11478a070
122964930
131961c61
141172c04
15aec4e6
hex7f5234

8344116 has 72 divisors (see below), whose sum is σ = 24242400. Its totient is φ = 2393280.

The previous prime is 8344099. The next prime is 8344117. The reversal of 8344116 is 6114438.

It is a self number, because there is not a number n which added to its sum of digits gives 8344116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8344117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6970 + ... + 8078.

It is an arithmetic number, because the mean of its divisors is an integer number (336700).

Almost surely, 28344116 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 8344116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12121200).

8344116 is an abundant number, since it is smaller than the sum of its proper divisors (15898284).

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

8344116 is a wasteful number, since it uses less digits than its factorization.

8344116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8344116 is about 2888.6183548541. The cubic root of 8344116 is about 202.8274719737.

It can be divided in two parts, 834 and 4116, that added together give a triangular number (4950 = T99).

The spelling of 8344116 in words is "eight million, three hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1109 1254 1881 2218 2508 3327 3762 4436 6654 7524 9981 12199 13308 19962 21071 24398 36597 39924 42142 48796 63213 73194 84284 109791 126426 146388 189639 219582 231781 252852 379278 439164 463562 695343 758556 927124 1390686 2086029 2781372 4172058 8344116