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2423264 = 25411847
BaseRepresentation
bin1001001111100111100000
311120010002112
421033213200
51110021024
6123534452
726411624
oct11174740
94503075
102423264
1114056a8
1298a428
1366acac
14471184
1532d00e
hex24f9e0

2423264 has 24 divisors (see below), whose sum is σ = 4889808. Its totient is φ = 1181440.

The previous prime is 2423249. The next prime is 2423339. The reversal of 2423264 is 4623242.

2423264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

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 3 ways as a sum of consecutive naturals, for example, 389 + ... + 2235.

It is an arithmetic number, because the mean of its divisors is an integer number (203742).

22423264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444904).

2423264 is an abundant number, since it is smaller than the sum of its proper divisors (2466544).

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

2423264 is a wasteful number, since it uses less digits than its factorization.

2423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its digits is 2304, while the sum is 23.

The square root of 2423264 is about 1556.6836544398. The cubic root of 2423264 is about 134.3178021575.

The spelling of 2423264 in words is "two million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1847 3694 7388 14776 29552 59104 75727 151454 302908 605816 1211632 2423264