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634614016 = 288329867
BaseRepresentation
bin100101110100110…
…111000100000000
31122020010201202211
4211310313010000
52244430122031
6142545551504
721504062431
oct4564670400
91566121684
10634614016
112a624a9a3
12158645594
13a1627a6a
14603d7488
153aaa8bb1
hex25d37100

634614016 has 36 divisors (see below), whose sum is σ = 1282054032. Its totient is φ = 313473536.

The previous prime is 634614011. The next prime is 634614037. The reversal of 634614016 is 610416436.

It is not an unprimeable number, because it can be changed into a prime (634614011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6315 + ... + 36181.

It is an arithmetic number, because the mean of its divisors is an integer number (35612612).

Almost surely, 2634614016 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 634614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641027016).

634614016 is an abundant number, since it is smaller than the sum of its proper divisors (647440016).

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

634614016 is an equidigital number, since it uses as much as digits as its factorization.

634614016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29966 (or 29952 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 634614016 is about 25191.5465186241. The cubic root of 634614016 is about 859.3496146260.

The spelling of 634614016 in words is "six hundred thirty-four million, six hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 664 1328 2656 5312 10624 21248 29867 59734 119468 238936 477872 955744 1911488 2478961 3822976 4957922 7645952 9915844 19831688 39663376 79326752 158653504 317307008 634614016