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634710016 = 211793923
BaseRepresentation
bin100101110101001…
…110100000000000
31122020022121110101
4211311032200000
52244441210031
6142552012144
721504642343
oct4565164000
91566277411
10634710016
112a6306036
12158691054
13a165c675
146042045a
153aac7361
hex25d4e800

634710016 has 48 divisors (see below), whose sum is σ = 1285502400. Its totient is φ = 313257984.

The previous prime is 634709993. The next prime is 634710017. The reversal of 634710016 is 610017436.

It is not an unprimeable number, because it can be changed into a prime (634710017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159831 + ... + 163753.

It is an arithmetic number, because the mean of its divisors is an integer number (26781300).

Almost surely, 2634710016 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 634710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642751200).

634710016 is an abundant number, since it is smaller than the sum of its proper divisors (650792384).

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

634710016 is an equidigital number, since it uses as much as digits as its factorization.

634710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 634710016 is about 25193.4518476528. The cubic root of 634710016 is about 859.3929445879.

The spelling of 634710016 in words is "six hundred thirty-four million, seven hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 2048 2528 3923 5056 7846 10112 15692 20224 31384 40448 62768 80896 125536 161792 251072 309917 502144 619834 1004288 1239668 2008576 2479336 4017152 4958672 8034304 9917344 19834688 39669376 79338752 158677504 317355008 634710016