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2293344 = 25327963
BaseRepresentation
bin1000101111111001100000
311022111212200
420233321200
51041341334
6121053200
725331064
oct10577140
94274780
102293344
111327029
12927200
13623b11
14439aa4
15304799
hex22fe60

2293344 has 36 divisors (see below), whose sum is σ = 6522516. Its totient is φ = 764352.

The previous prime is 2293327. The next prime is 2293367. The reversal of 2293344 is 4433922.

It is a happy number.

2293344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3694 + ... + 4269.

It is an arithmetic number, because the mean of its divisors is an integer number (181181).

22293344 is an apocalyptic number.

2293344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2293344 is an abundant number, since it is smaller than the sum of its proper divisors (4229172).

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

2293344 is a wasteful number, since it uses less digits than its factorization.

2293344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7979 (or 7968 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2293344 is about 1514.3790806796. The cubic root of 2293344 is about 131.8731563873.

The spelling of 2293344 in words is "two million, two hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7963 15926 23889 31852 47778 63704 71667 95556 127408 143334 191112 254816 286668 382224 573336 764448 1146672 2293344