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584345052 = 223271228617
BaseRepresentation
bin100010110101000…
…110010111011100
31111201112210201100
4202311012113130
52144043020202
6133552313100
720323564614
oct4265062734
91451483640
10584345052
1127a9360a5
12143842790
13940a7105
145786da44
153647941c
hex22d465dc

584345052 has 36 divisors (see below), whose sum is σ = 1497905136. Its totient is φ = 192037440.

The previous prime is 584345011. The next prime is 584345089. The reversal of 584345052 is 250543485.

584345052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 584344998 and 584345016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111753 + ... + 116864.

It is an arithmetic number, because the mean of its divisors is an integer number (41608476).

Almost surely, 2584345052 is an apocalyptic number.

It is an amenable number.

584345052 is an abundant number, since it is smaller than the sum of its proper divisors (913560084).

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

584345052 is a wasteful number, since it uses less digits than its factorization.

584345052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228698 (or 228693 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 584345052 is about 24173.2300696452. The cubic root of 584345052 is about 836.0324289367.

The spelling of 584345052 in words is "five hundred eighty-four million, three hundred forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 228617 457234 685851 914468 1371702 2057553 2743404 4115106 8230212 16231807 32463614 48695421 64927228 97390842 146086263 194781684 292172526 584345052