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2430809 = 29109769
BaseRepresentation
bin1001010001011101011001
311120111102222
421101131121
51110241214
6124033425
726442623
oct11213531
94514388
102430809
111410337
12992875
13671564
14473c13
1533038e
hex251759

2430809 has 8 divisors (see below), whose sum is σ = 2541000. Its totient is φ = 2322432.

The previous prime is 2430787. The next prime is 2430811. The reversal of 2430809 is 9080342.

2430809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 462400 + 1968409 = 680^2 + 1403^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2430809 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2430829) 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 7 ways as a sum of consecutive naturals, for example, 2777 + ... + 3545.

It is an arithmetic number, because the mean of its divisors is an integer number (317625).

22430809 is an apocalyptic number.

2430809 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2430809 is a deficient number, since it is larger than the sum of its proper divisors (110191).

2430809 is a wasteful number, since it uses less digits than its factorization.

2430809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2430809 is about 1559.1051920894. The cubic root of 2430809 is about 134.4570603152.

The spelling of 2430809 in words is "two million, four hundred thirty thousand, eight hundred nine".

Divisors: 1 29 109 769 3161 22301 83821 2430809