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9005334 = 2313283107
BaseRepresentation
bin100010010110…
…100100010110
3121221111222220
4202112210112
54301132314
6521003210
7136354422
oct42264426
917844886
109005334
1150a0928
123023506
131b33c00
1412a5b82
15bcd3a9
hex896916

9005334 has 48 divisors (see below), whose sum is σ = 19922112. Its totient is φ = 2711904.

The previous prime is 9005329. The next prime is 9005371. The reversal of 9005334 is 4335009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84109 + ... + 84215.

It is an arithmetic number, because the mean of its divisors is an integer number (415044).

Almost surely, 29005334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9005334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9961056).

9005334 is an abundant number, since it is smaller than the sum of its proper divisors (10916778).

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

9005334 is a wasteful number, since it uses less digits than its factorization.

9005334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 9005334 is about 3000.8888683189. Note that the first 4 decimals coincide. The cubic root of 9005334 is about 208.0494674012.

It can be divided in two parts, 9005 and 334, that added together give a palindrome (9339).

The spelling of 9005334 in words is "nine million, five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 83 107 166 169 214 249 321 338 498 507 642 1014 1079 1391 2158 2782 3237 4173 6474 8346 8881 14027 17762 18083 26643 28054 36166 42081 53286 54249 84162 108498 115453 230906 346359 692718 1500889 3001778 4502667 9005334