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2123329 = 13233701
BaseRepresentation
bin1000000110011001000001
310222212122211
420012121001
51020421304
6113302121
724022315
oct10063101
93885584
102123329
11122031a
12864941
13594610
143d3b45
152be204
hex206641

2123329 has 8 divisors (see below), whose sum is σ = 2299752. Its totient is φ = 1948800.

The previous prime is 2123327. The next prime is 2123353. The reversal of 2123329 is 9233212.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 2002225 = 348^2 + 1415^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2123329 - 21 = 2123327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2123327) 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 7 ways as a sum of consecutive naturals, for example, 2679 + ... + 3379.

It is an arithmetic number, because the mean of its divisors is an integer number (287469).

22123329 is an apocalyptic number.

It is an amenable number.

2123329 is a deficient number, since it is larger than the sum of its proper divisors (176423).

2123329 is a wasteful number, since it uses less digits than its factorization.

2123329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947.

The product of its digits is 648, while the sum is 22.

The square root of 2123329 is about 1457.1647127212. The cubic root of 2123329 is about 128.5303717819.

The spelling of 2123329 in words is "two million, one hundred twenty-three thousand, three hundred twenty-nine".

Divisors: 1 13 233 701 3029 9113 163333 2123329