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2270304 = 25327883
BaseRepresentation
bin1000101010010001100000
311021100021100
420222101200
51040122204
6120354400
725203651
oct10522140
94240240
102270304
111310793
12915a00
1361649a
14431528
152eca39
hex22a460

2270304 has 36 divisors (see below), whose sum is σ = 6456996. Its totient is φ = 756672.

The previous prime is 2270297. The next prime is 2270309. The reversal of 2270304 is 4030722.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3654 + ... + 4229.

It is an arithmetic number, because the mean of its divisors is an integer number (179361).

22270304 is an apocalyptic number.

2270304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2270304 is an abundant number, since it is smaller than the sum of its proper divisors (4186692).

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

2270304 is a wasteful number, since it uses less digits than its factorization.

2270304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7899 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2270304 is about 1506.7527998978. The cubic root of 2270304 is about 131.4300494928.

The spelling of 2270304 in words is "two million, two hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7883 15766 23649 31532 47298 63064 70947 94596 126128 141894 189192 252256 283788 378384 567576 756768 1135152 2270304