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634132144 = 24192299109
BaseRepresentation
bin100101110011000…
…001011010110000
31122012020020202201
4211303001122300
52244314212034
6142531352544
721500014522
oct4563013260
91565206681
10634132144
112a5a50958
12158452754
13a14b9629
146030da12
153aa11014
hex25cc16b0

634132144 has 40 divisors (see below), whose sum is σ = 1299086000. Its totient is φ = 299033856.

The previous prime is 634132133. The next prime is 634132193. The reversal of 634132144 is 441231436.

It is an unprimeable number.

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, 65062 + ... + 74170.

It is an arithmetic number, because the mean of its divisors is an integer number (32477150).

Almost surely, 2634132144 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 634132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649543000).

634132144 is an abundant number, since it is smaller than the sum of its proper divisors (664953856).

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

634132144 is a wasteful number, since it uses less digits than its factorization.

634132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9365 (or 9359 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 634132144 is about 25181.9805416492. The cubic root of 634132144 is about 859.1320538404.

The spelling of 634132144 in words is "six hundred thirty-four million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 229 304 458 916 1832 3664 4351 8702 9109 17404 18218 34808 36436 69616 72872 145744 173071 346142 692284 1384568 2085961 2769136 4171922 8343844 16687688 33375376 39633259 79266518 158533036 317066072 634132144