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640234528 = 2561734493
BaseRepresentation
bin100110001010010…
…011010000100000
31122121201021122221
4212022103100200
52302400001103
6143310240424
721602621653
oct4612232040
91577637587
10640234528
112a943974a
1215a4b6114
13a28450cb
146105b89a
153b3191bd
hex26293420

640234528 has 48 divisors (see below), whose sum is σ = 1298963736. Its totient is φ = 310487040.

The previous prime is 640234523. The next prime is 640234531. The reversal of 640234528 is 825432046.

It can be written as a sum of positive squares in 4 ways, for example, as 585059344 + 55175184 = 24188^2 + 7428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 640234493 and 640234502.

It is not an unprimeable number, because it can be changed into a prime (640234523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140250 + ... + 144742.

Almost surely, 2640234528 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 640234528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649481868).

640234528 is an abundant number, since it is smaller than the sum of its proper divisors (658729208).

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

640234528 is a wasteful number, since it uses less digits than its factorization.

640234528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 640234528 is about 25302.8561233707. The cubic root of 640234528 is about 861.8791288361.

The spelling of 640234528 in words is "six hundred forty million, two hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 73 122 146 244 292 488 584 976 1168 1952 2336 4453 4493 8906 8986 17812 17972 35624 35944 71248 71888 142496 143776 274073 327989 548146 655978 1096292 1311956 2192584 2623912 4385168 5247824 8770336 10495648 20007329 40014658 80029316 160058632 320117264 640234528