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8341056 = 26341609
BaseRepresentation
bin11111110100011001000000
3120200202210000
4133310121000
54113403211
6454440000
7130616643
oct37643100
916622700
108341056
114787839
122963000
131960749
141171a5a
15aeb656
hex7f4640

8341056 has 70 divisors (see below), whose sum is σ = 24740870. Its totient is φ = 2778624.

The previous prime is 8341051. The next prime is 8341063. The reversal of 8341056 is 6501438.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 46656 = 2880^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (8341051) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4380 + ... + 5988.

It is an arithmetic number, because the mean of its divisors is an integer number (353441).

Almost surely, 28341056 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 8341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370435).

8341056 is an abundant number, since it is smaller than the sum of its proper divisors (16399814).

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

8341056 is a wasteful number, since it uses less digits than its factorization.

8341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8341056 is about 2888.0886412989. The cubic root of 8341056 is about 202.8026749411.

The spelling of 8341056 in words is "eight million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1609 1728 2592 3218 4827 5184 6436 9654 12872 14481 19308 25744 28962 38616 43443 51488 57924 77232 86886 102976 115848 130329 154464 173772 231696 260658 308928 347544 463392 521316 695088 926784 1042632 1390176 2085264 2780352 4170528 8341056