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634748352 = 26372195367
BaseRepresentation
bin100101110101010…
…111110111000000
31122020101120001020
4211311113313000
52244443421402
6142552505440
721505162200
oct4565276700
91566346036
10634748352
112a6331917
121586ab280
13a1673c54
1460430400
153aad38bc
hex25d57dc0

634748352 has 336 divisors, whose sum is σ = 2126528640. Its totient is φ = 166053888.

The previous prime is 634748351. The next prime is 634748353. The reversal of 634748352 is 253847436.

It is an interprime number because it is at equal distance from previous prime (634748351) and next prime (634748353).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (483840) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634748351) 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, 9473823 + ... + 9473889.

Almost surely, 2634748352 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 634748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063264320).

634748352 is an abundant number, since it is smaller than the sum of its proper divisors (1491780288).

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

634748352 is a wasteful number, since it uses less digits than its factorization.

634748352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 634748352 is about 25194.2126687857. The cubic root of 634748352 is about 859.4102464653.

The spelling of 634748352 in words is "six hundred thirty-four million, seven hundred forty-eight thousand, three hundred fifty-two".