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684934848 = 263213234197
BaseRepresentation
bin101000110100110…
…100011011000000
31202201211021222100
4220310310123000
52400320403343
6151544310400
722654564413
oct5064643300
91681737870
10684934848
1132169a764
12171472400
13abb961c0
1466d75b7a
15401e89d3
hex28d346c0

684934848 has 336 divisors, whose sum is σ = 2283293376. Its totient is φ = 194641920.

The previous prime is 684934843. The next prime is 684934891. The reversal of 684934848 is 848439486.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5308416) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 684934794 and 684934803.

It is not an unprimeable number, because it can be changed into a prime (684934843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7061136 + ... + 7061232.

It is an arithmetic number, because the mean of its divisors is an integer number (6795516).

Almost surely, 2684934848 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 684934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141646688).

684934848 is an abundant number, since it is smaller than the sum of its proper divisors (1598358528).

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

684934848 is a wasteful number, since it uses less digits than its factorization.

684934848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 684934848 is about 26171.2599620270. The cubic root of 684934848 is about 881.4880333604.

The spelling of 684934848 in words is "six hundred eighty-four million, nine hundred thirty-four thousand, eight hundred forty-eight".