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2968218 = 2331119263
BaseRepresentation
bin1011010100101010011010
312120210122000
423110222122
51224440333
6143341430
734141461
oct13245232
95523560
102968218
111748080
12bb1876
137cc056
145739d8
153d9713
hex2d4a9a

2968218 has 64 divisors (see below), whose sum is σ = 7603200. Its totient is φ = 848880.

The previous prime is 2968213. The next prime is 2968223. The reversal of 2968218 is 8128692.

2968218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2968213) and next prime (2968223).

It is not an unprimeable number, because it can be changed into a prime (2968213) 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 31 ways as a sum of consecutive naturals, for example, 11155 + ... + 11417.

It is an arithmetic number, because the mean of its divisors is an integer number (118800).

22968218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2968218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801600).

2968218 is an abundant number, since it is smaller than the sum of its proper divisors (4634982).

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

2968218 is a wasteful number, since it uses less digits than its factorization.

2968218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2968218 is about 1722.8517057484. The cubic root of 2968218 is about 143.7138414411.

The spelling of 2968218 in words is "two million, nine hundred sixty-eight thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 263 297 342 418 513 526 594 627 789 1026 1254 1578 1881 2367 2893 3762 4734 4997 5643 5786 7101 8679 9994 11286 14202 14991 17358 26037 29982 44973 52074 54967 78111 89946 109934 134919 156222 164901 269838 329802 494703 989406 1484109 2968218