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2270340 = 2232512613
BaseRepresentation
bin1000101010010010000100
311021100022200
420222102010
51040122330
6120354500
725204032
oct10522204
94240280
102270340
111310816
12915a30
136164c7
14431552
152eca60
hex22a484

2270340 has 36 divisors (see below), whose sum is σ = 6887244. Its totient is φ = 605376.

The previous prime is 2270339. The next prime is 2270341. The reversal of 2270340 is 430722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2270339) and next prime (2270341).

It can be written as a sum of positive squares in 2 ways, for example, as 887364 + 1382976 = 942^2 + 1176^2 .

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 not an unprimeable number, because it can be changed into a prime (2270341) 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 11 ways as a sum of consecutive naturals, for example, 6127 + ... + 6486.

22270340 is an apocalyptic number.

2270340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270340 is an abundant number, since it is smaller than the sum of its proper divisors (4616904).

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

2270340 is a wasteful number, since it uses less digits than its factorization.

2270340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12628 (or 12623 counting only the distinct ones).

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

The square root of 2270340 is about 1506.7647460702. The cubic root of 2270340 is about 131.4307441805.

The spelling of 2270340 in words is "two million, two hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12613 25226 37839 50452 63065 75678 113517 126130 151356 189195 227034 252260 378390 454068 567585 756780 1135170 2270340