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2984226 = 237411733
BaseRepresentation
bin1011011000100100100010
312121121120220
423120210202
51230443401
6143543510
734236240
oct13304442
95547526
102984226
111759103
12bbab96
1380641b
14579790
153de336
hex2d8922

2984226 has 32 divisors (see below), whose sum is σ = 6991488. Its totient is φ = 831360.

The previous prime is 2984221. The next prime is 2984237. The reversal of 2984226 is 6224892.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2984221) 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, 856 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (218484).

22984226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2984226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495744).

2984226 is an abundant number, since it is smaller than the sum of its proper divisors (4007262).

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

2984226 is a wasteful number, since it uses less digits than its factorization.

2984226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786.

The product of its digits is 13824, while the sum is 33.

The square root of 2984226 is about 1727.4912445509. The cubic root of 2984226 is about 143.9717344213.

It can be divided in two parts, 29 and 84226, that added together give a triangular number (84255 = T410).

The spelling of 2984226 in words is "two million, nine hundred eighty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 1733 3466 5199 10398 12131 24262 36393 71053 72786 142106 213159 426318 497371 994742 1492113 2984226