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8234328 = 2334379101
BaseRepresentation
bin11111011010010101011000
3120111100101010
4133122111120
54101444303
6452253520
7126663534
oct37322530
916440333
108234328
114714633
1229112a0
131923cab
141144bc4
15ac9c03
hex7da558

8234328 has 64 divisors (see below), whose sum is σ = 21542400. Its totient is φ = 2620800.

The previous prime is 8234321. The next prime is 8234357.

8234328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82343282 = 135608315223168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8234295 and 8234304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8234321) 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 15 ways as a sum of consecutive naturals, for example, 81478 + ... + 81578.

It is an arithmetic number, because the mean of its divisors is an integer number (336600).

Almost surely, 28234328 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 8234328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771200).

8234328 is an abundant number, since it is smaller than the sum of its proper divisors (13308072).

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

8234328 is a wasteful number, since it uses less digits than its factorization.

8234328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 8234328 is about 2869.5518813919. The cubic root of 8234328 is about 201.9339718189.

It can be divided in two parts, 823 and 4328, that added together give a triangular number (5151 = T101).

The spelling of 8234328 in words is "eight million, two hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 79 86 101 129 158 172 202 237 258 303 316 344 404 474 516 606 632 808 948 1032 1212 1896 2424 3397 4343 6794 7979 8686 10191 13029 13588 15958 17372 20382 23937 26058 27176 31916 34744 40764 47874 52116 63832 81528 95748 104232 191496 343097 686194 1029291 1372388 2058582 2744776 4117164 8234328