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630432432 = 243272471901
BaseRepresentation
bin100101100100111…
…010001010110000
31121221021021201100
4211210322022300
52242342314212
6142320204400
721423405300
oct4544721260
91557237640
10630432432
112a3954243
12157169700
13a07c2656
145da29600
153a52ebdc
hex2593a2b0

630432432 has 180 divisors, whose sum is σ = 2097160416. Its totient is φ = 176198400.

The previous prime is 630432419. The next prime is 630432443. The reversal of 630432432 is 234234036.

It is a happy number.

630432432 is a `hidden beast` number, since 6 + 304 + 324 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 630432396 and 630432405.

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 35 ways as a sum of consecutive naturals, for example, 330682 + ... + 332582.

Almost surely, 2630432432 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 630432432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048580208).

630432432 is an abundant number, since it is smaller than the sum of its proper divisors (1466727984).

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

630432432 is a wasteful number, since it uses less digits than its factorization.

630432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 630432432 is about 25108.4135699570. The cubic root of 630432432 is about 857.4579848913.

Adding to 630432432 its reverse (234234036), we get a palindrome (864666468).

The spelling of 630432432 in words is "six hundred thirty million, four hundred thirty-two thousand, four hundred thirty-two".