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5683434240 = 283511197683
BaseRepresentation
bin1010100101100001…
…00101001100000000
3112200002101101002110
411102300211030000
543114424343430
62335543415320
7260561252061
oct52260451400
915602341073
105683434240
1124571722a0
121127454540
136c761aa53
143bcb66568
15233e557b0
hex152c25300

5683434240 has 288 divisors, whose sum is σ = 19931256576. Its totient is φ = 1368801280.

The previous prime is 5683434221. The next prime is 5683434241. The reversal of 5683434240 is 424343865.

It is not an unprimeable number, because it can be changed into a prime (5683434241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8320939 + ... + 8321621.

It is an arithmetic number, because the mean of its divisors is an integer number (69205752).

Almost surely, 25683434240 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 5683434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9965628288).

5683434240 is an abundant number, since it is smaller than the sum of its proper divisors (14247822336).

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

5683434240 is a wasteful number, since it uses less digits than its factorization.

5683434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 5683434240 is about 75388.5550995640. Note that the first 3 decimals coincide. The cubic root of 5683434240 is about 1784.5838008374.

The spelling of 5683434240 in words is "five billion, six hundred eighty-three million, four hundred thirty-four thousand, two hundred forty".