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8964342 = 2322359367
BaseRepresentation
bin100010001100…
…100011110110
3121212102202200
4202030203312
54243324332
6520045330
7136124052
oct42144366
917772680
108964342
115073052
123003846
131b1b35a
141294c62
15bc117c
hex88c8f6

8964342 has 48 divisors (see below), whose sum is σ = 20666880. Its totient is φ = 2802096.

The previous prime is 8964337. The next prime is 8964349. The reversal of 8964342 is 2434698.

It is a happy number.

8964342 is a `hidden beast` number, since 8 + 9 + 643 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8964297 and 8964306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8964349) 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 23 ways as a sum of consecutive naturals, for example, 24243 + ... + 24609.

It is an arithmetic number, because the mean of its divisors is an integer number (430560).

Almost surely, 28964342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8964342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10333440).

8964342 is an abundant number, since it is smaller than the sum of its proper divisors (11702538).

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

8964342 is a wasteful number, since it uses less digits than its factorization.

8964342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 8964342 is about 2994.0511017683. The cubic root of 8964342 is about 207.7333089676.

The spelling of 8964342 in words is "eight million, nine hundred sixty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 59 69 118 138 177 207 354 367 414 531 734 1062 1101 1357 2202 2714 3303 4071 6606 8142 8441 12213 16882 21653 24426 25323 43306 50646 64959 75969 129918 151938 194877 389754 498019 996038 1494057 2988114 4482171 8964342