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563582340 = 223352345377
BaseRepresentation
bin100001100101111…
…001010110000100
31110021110221122000
4201211321112010
52123234113330
6131531305300
716652241126
oct4145712604
91407427560
10563582340
1126a144832
121388ab230
138c9b7799
1454bc7216
1534727560
hex21979584

563582340 has 96 divisors (see below), whose sum is σ = 1829640960. Its totient is φ = 143751168.

The previous prime is 563582333. The next prime is 563582347. The reversal of 563582340 is 43285365.

It is a happy number.

563582340 is a `hidden beast` number, since 563 + 58 + 2 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (563582333) and next prime (563582347).

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 = 563582295 and 563582304.

It is not an unprimeable number, because it can be changed into a prime (563582347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10269 + ... + 35108.

It is an arithmetic number, because the mean of its divisors is an integer number (19058760).

Almost surely, 2563582340 is an apocalyptic number.

It is an amenable number.

563582340 is an abundant number, since it is smaller than the sum of its proper divisors (1266058620).

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

563582340 is a wasteful number, since it uses less digits than its factorization.

563582340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45418 (or 45410 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 563582340 is about 23739.8892162537. The cubic root of 563582340 is about 826.0109260300.

The spelling of 563582340 in words is "five hundred sixty-three million, five hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 45377 90754 136131 181508 226885 272262 408393 453770 544524 680655 816786 907540 1043671 1225179 1361310 1633572 2041965 2087342 2450358 2722620 3131013 4083930 4174684 4900716 5218355 6125895 6262026 8167860 9393039 10436710 12251790 12524052 15655065 18786078 20873420 24503580 28179117 31310130 37572156 46965195 56358234 62620260 93930390 112716468 140895585 187860780 281791170 563582340