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634894848 = 293117
BaseRepresentation
bin100101110101111…
…011101000000000
31122020200000000000
4211311323220000
52300013113343
6143000000000
721506342250
oct4565735000
91566600000
10634894848
112a6421995
12158760000
13a16c5833
146046b960
153ab11ed3
hex25d7ba00

634894848 has 240 divisors, whose sum is σ = 2174652480. Its totient is φ = 181398528.

The previous prime is 634894837. The next prime is 634894873. The reversal of 634894848 is 848498436.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 634894794 and 634894803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90699261 + ... + 90699267.

It is an arithmetic number, because the mean of its divisors is an integer number (9061052).

Almost surely, 2634894848 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 634894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087326240).

634894848 is an abundant number, since it is smaller than the sum of its proper divisors (1539757632).

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

634894848 is an frugal number, since it uses more digits than its factorization.

634894848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 12 counting only the distinct ones).

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

The square root of 634894848 is about 25197.1198354098. The cubic root of 634894848 is about 859.4763569056.

The spelling of 634894848 in words is "six hundred thirty-four million, eight hundred ninety-four thousand, eight hundred forty-eight".