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523376640 = 211345631
BaseRepresentation
bin11111001100100…
…001100000000000
31100110211021210000
4133030201200000
52032441023030
6123533440000
715653425263
oct3714414000
91313737700
10523376640
11249483686
12127340000
138457b427
144d71ccda
1530e34860
hex1f321800

523376640 has 240 divisors, whose sum is σ = 1878917040. Its totient is φ = 139345920.

The previous prime is 523376629. The next prime is 523376653. The reversal of 523376640 is 46673325.

523376640 is a `hidden beast` number, since 5 + 2 + 3 + 3 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 523376595 and 523376604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829125 + ... + 829755.

It is an arithmetic number, because the mean of its divisors is an integer number (7828821).

Almost surely, 2523376640 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 523376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939458520).

523376640 is an abundant number, since it is smaller than the sum of its proper divisors (1355540400).

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

523376640 is an equidigital number, since it uses as much as digits as its factorization.

523376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 523376640 is about 22877.4264286873. The cubic root of 523376640 is about 805.8819802280.

The spelling of 523376640 in words is "five hundred twenty-three million, three hundred seventy-six thousand, six hundred forty".