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684385024 = 2822711777
BaseRepresentation
bin101000110010101…
…110001100000000
31202200210100202111
4220302232030000
52400200310044
6151524425104
722650114421
oct5062561400
91680710674
10684385024
11321354664
12171248194
13aba32b6b
1466c71648
154013ab34
hex28cae300

684385024 has 36 divisors (see below), whose sum is σ = 1372231224. Its totient is φ = 340656128.

The previous prime is 684385021. The next prime is 684385027. The reversal of 684385024 is 420583486.

It is an interprime number because it is at equal distance from previous prime (684385021) and next prime (684385027).

It is a super-2 number, since 2×6843850242 = 936765722150961152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (684385021) 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 3 ways as a sum of consecutive naturals, for example, 52224 + ... + 64000.

It is an arithmetic number, because the mean of its divisors is an integer number (38117534).

Almost surely, 2684385024 is an apocalyptic number.

684385024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686115612).

684385024 is an abundant number, since it is smaller than the sum of its proper divisors (687846200).

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

684385024 is a wasteful number, since it uses less digits than its factorization.

684385024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 684385024 is about 26160.7535059677. The cubic root of 684385024 is about 881.2521019080.

The spelling of 684385024 in words is "six hundred eighty-four million, three hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 908 1816 3632 7264 11777 14528 23554 29056 47108 58112 94216 188432 376864 753728 1507456 2673379 3014912 5346758 10693516 21387032 42774064 85548128 171096256 342192512 684385024