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563357340 = 22325713163211
BaseRepresentation
bin100001100101000…
…010011010011100
31110021001111222200
4201211002122130
52123204413330
6131522411500
716650313140
oct4145023234
91407044880
10563357340
1126a000787
12138800b90
138c939250
1454b69220
15346d0a60
hex2194269c

563357340 has 288 divisors, whose sum is σ = 2126132736. Its totient is φ = 117573120.

The previous prime is 563357329. The next prime is 563357357. The reversal of 563357340 is 43753365.

563357340 is a `hidden beast` number, since 56 + 33 + 573 + 4 + 0 = 666.

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 = 563357295 and 563357304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2669835 + ... + 2670045.

Almost surely, 2563357340 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 563357340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063066368).

563357340 is an abundant number, since it is smaller than the sum of its proper divisors (1562775396).

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

563357340 is a wasteful number, since it uses less digits than its factorization.

563357340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 563357340 is about 23735.1498836641. The cubic root of 563357340 is about 825.9009881183.

The spelling of 563357340 in words is "five hundred sixty-three million, three hundred fifty-seven thousand, three hundred forty".