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634063248 = 24337131272
BaseRepresentation
bin100101110010110…
…000100110010000
31122012002202021000
4211302300212100
52244310010443
6142530102000
721466306620
oct4562604620
91565082230
10634063248
112a5a04115
1215841a900
13a1494170
14602d2880
153a9ea8d3
hex25cb0990

634063248 has 240 divisors, whose sum is σ = 2257772160. Its totient is φ = 165908736.

The previous prime is 634063247. The next prime is 634063253. The reversal of 634063248 is 842360436.

It is a happy number.

634063248 is a `hidden beast` number, since 6 + 3 + 406 + 3 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (634063247) 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, 4992561 + ... + 4992687.

It is an arithmetic number, because the mean of its divisors is an integer number (9407384).

Almost surely, 2634063248 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 634063248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128886080).

634063248 is an abundant number, since it is smaller than the sum of its proper divisors (1623708912).

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

634063248 is a wasteful number, since it uses less digits than its factorization.

634063248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 634063248 is about 25180.6125421921. The cubic root of 634063248 is about 859.1009389241.

The spelling of 634063248 in words is "six hundred thirty-four million, sixty-three thousand, two hundred forty-eight".