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634428918 = 232234493413
BaseRepresentation
bin100101110100001…
…001110111110110
31122012210022212100
4211310021313312
52244403211133
6142542002530
721502361664
oct4564116766
91565708770
10634428918
112a6133922
12158576446
13a1591736
1460389c34
153aa6de13
hex25d09df6

634428918 has 48 divisors (see below), whose sum is σ = 1437976800. Its totient is φ = 201772032.

The previous prime is 634428913. The next prime is 634428929. The reversal of 634428918 is 819824436.

It is a happy number.

634428918 is a `hidden beast` number, since 634 + 4 + 2 + 8 + 9 + 1 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634428913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184180 + ... + 187592.

It is an arithmetic number, because the mean of its divisors is an integer number (29957850).

Almost surely, 2634428918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634428918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718988400).

634428918 is an abundant number, since it is smaller than the sum of its proper divisors (803547882).

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

634428918 is a wasteful number, since it uses less digits than its factorization.

634428918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3890 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 634428918 is about 25187.8724389338. The cubic root of 634428918 is about 859.2660576091.

The spelling of 634428918 in words is "six hundred thirty-four million, four hundred twenty-eight thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 449 898 1347 2694 3413 4041 6826 8082 10239 10327 20478 20654 30717 30981 61434 61962 78499 92943 156998 185886 235497 470994 706491 1412982 1532437 3064874 4597311 9194622 13791933 27583866 35246051 70492102 105738153 211476306 317214459 634428918