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634349016 = 2333717232937
BaseRepresentation
bin100101110011110…
…110010111011000
31122012122021021000
4211303312113120
52244343132031
6142540145000
721501610020
oct4563662730
91565567230
10634349016
112a6089894
12158538160
13a1564262
1460368a80
153aa553e6
hex25cf65d8

634349016 has 512 divisors, whose sum is σ = 2363904000. Its totient is φ = 153280512.

The previous prime is 634349011. The next prime is 634349021. The reversal of 634349016 is 610943436.

634349016 is a `hidden beast` number, since 634 + 3 + 4 + 9 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (634349011) and next prime (634349021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634349011) 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 127 ways as a sum of consecutive naturals, for example, 17144550 + ... + 17144586.

It is an arithmetic number, because the mean of its divisors is an integer number (4617000).

Almost surely, 2634349016 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 634349016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181952000).

634349016 is an abundant number, since it is smaller than the sum of its proper divisors (1729554984).

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

634349016 is a wasteful number, since it uses less digits than its factorization.

634349016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 634349016 is about 25186.2862685232. The cubic root of 634349016 is about 859.2299831926.

The spelling of 634349016 in words is "six hundred thirty-four million, three hundred forty-nine thousand, sixteen".