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3008334 = 237411747
BaseRepresentation
bin1011011110011101001110
312122211122210
423132131032
51232231314
6144251250
734366440
oct13363516
95584583
103008334
11177522a
121010b26
138143a4
14584490
153e6559
hex2de74e

3008334 has 32 divisors (see below), whose sum is σ = 7047936. Its totient is φ = 838080.

The previous prime is 3008311. The next prime is 3008339. The reversal of 3008334 is 4338003.

3008334 = T277 + T278 + ... + T339.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3008334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3008339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849 + ... + 2595.

It is an arithmetic number, because the mean of its divisors is an integer number (220248).

Almost surely, 23008334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523968).

3008334 is an abundant number, since it is smaller than the sum of its proper divisors (4039602).

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

3008334 is a wasteful number, since it uses less digits than its factorization.

3008334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3008334 is about 1734.4549576164. The cubic root of 3008334 is about 144.3583858620.

The spelling of 3008334 in words is "three million, eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 1747 3494 5241 10482 12229 24458 36687 71627 73374 143254 214881 429762 501389 1002778 1504167 3008334