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634041216 = 2733183461
BaseRepresentation
bin100101110010101…
…011001110000000
31122012001122001000
4211302223032000
52244303304331
6142525412000
721466155444
oct4562531600
91565048030
10634041216
112a5999606
1215840a000
13a1487123
14602c8824
153a9e40e6
hex25cab380

634041216 has 64 divisors (see below), whose sum is σ = 1871312400. Its totient is φ = 211345920.

The previous prime is 634041193. The next prime is 634041217. The reversal of 634041216 is 612140436.

634041216 is a `hidden beast` number, since 634 + 0 + 4 + 1 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 634041216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634041217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88275 + ... + 95186.

Almost surely, 2634041216 is an apocalyptic number.

It is an amenable number.

634041216 is an abundant number, since it is smaller than the sum of its proper divisors (1237271184).

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

634041216 is a wasteful number, since it uses less digits than its factorization.

634041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183484 (or 183466 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 634041216 is about 25180.1750589626. The cubic root of 634041216 is about 859.0909883231.

It can be divided in two parts, 63404 and 1216, that added together give a triangular number (64620 = T359).

The spelling of 634041216 in words is "six hundred thirty-four million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 183461 366922 550383 733844 1100766 1467688 1651149 2201532 2935376 3302298 4403064 4953447 5870752 6604596 8806128 9906894 11741504 13209192 17612256 19813788 23483008 26418384 35224512 39627576 52836768 70449024 79255152 105673536 158510304 211347072 317020608 634041216