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634834384 = 24192131839
BaseRepresentation
bin100101110101101…
…100110111010000
31122020112221001121
4211311230313100
52300004200014
6142554412024
721506001052
oct4565546720
91566487047
10634834384
112a6390518
12158731014
13a16a4162
14604538d2
153aaee124
hex25d6cdd0

634834384 has 60 divisors (see below), whose sum is σ = 1309603680. Its totient is φ = 298059840.

The previous prime is 634834379. The next prime is 634834391. The reversal of 634834384 is 483438436.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 634834384.

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, 756237 + ... + 757075.

It is an arithmetic number, because the mean of its divisors is an integer number (21826728).

Almost surely, 2634834384 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 634834384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654801840).

634834384 is an abundant number, since it is smaller than the sum of its proper divisors (674769296).

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

634834384 is a wasteful number, since it uses less digits than its factorization.

634834384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 991 counting only the distinct ones).

The product of its digits is 663552, while the sum is 43.

The square root of 634834384 is about 25195.9199871725. The cubic root of 634834384 is about 859.4490720576.

The spelling of 634834384 in words is "six hundred thirty-four million, eight hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 361 524 722 839 1048 1444 1678 2096 2489 2888 3356 4978 5776 6712 9956 13424 15941 19912 31882 39824 47291 63764 94582 109909 127528 189164 219818 255056 302879 378328 439636 605758 756656 879272 1211516 1758544 2088271 2423032 4176542 4846064 8353084 16706168 33412336 39677149 79354298 158708596 317417192 634834384