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8224434 = 2323753233
BaseRepresentation
bin11111010111111010110010
3120110211210200
4133113322302
54101140214
6452140030
7126622641
oct37277262
916424720
108224434
114708159
122907616
13191c63a
141141358
15ac6d09
hex7d7eb2

8224434 has 48 divisors (see below), whose sum is σ = 18726552. Its totient is φ = 2605824.

The previous prime is 8224421. The next prime is 8224439. The reversal of 8224434 is 4344228.

It is a happy number.

8224434 is a `hidden beast` number, since 8 + 224 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7868025 + 356409 = 2805^2 + 597^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8224398 and 8224407.

It is not an unprimeable number, because it can be changed into a prime (8224439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35182 + ... + 35414.

Almost surely, 28224434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8224434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363276).

8224434 is an abundant number, since it is smaller than the sum of its proper divisors (10502118).

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

8224434 is a wasteful number, since it uses less digits than its factorization.

8224434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 328 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 8224434 is about 2867.8274006641. The cubic root of 8224434 is about 201.8530611297.

The spelling of 8224434 in words is "eight million, two hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 233 318 333 466 477 666 699 954 1398 1961 2097 3922 4194 5883 8621 11766 12349 17242 17649 24698 25863 35298 37047 51726 74094 77589 111141 155178 222282 456913 913826 1370739 2741478 4112217 8224434