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2270334 = 231141839
BaseRepresentation
bin1000101010010001111110
311021100022110
420222101332
51040122314
6120354450
725204023
oct10522176
94240273
102270334
111310810
12915a26
136164c1
1443154a
152eca59
hex22a47e

2270334 has 32 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 670400.

The previous prime is 2270327. The next prime is 2270339. The reversal of 2270334 is 4330722.

It is a happy number.

2270334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2270334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270339) 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 15 ways as a sum of consecutive naturals, for example, 2287 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

22270334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2270334 is an abundant number, since it is smaller than the sum of its proper divisors (2809986).

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

2270334 is a wasteful number, since it uses less digits than its factorization.

2270334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 2270334 is about 1506.7627550481. The cubic root of 2270334 is about 131.4306283997.

The spelling of 2270334 in words is "two million, two hundred seventy thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 839 902 1353 1678 2517 2706 5034 9229 18458 27687 34399 55374 68798 103197 206394 378389 756778 1135167 2270334