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520387344 = 243219012
BaseRepresentation
bin11111000001000…
…111101100010000
31100021012102020100
4133001013230100
52031204343334
6123345412400
715616135161
oct3701075420
91307172210
10520387344
11247821794
1212633a100
1383a72909
144d181768
1530a43c99
hex1f047b10

520387344 has 45 divisors (see below), whose sum is σ = 1457128309. Its totient is φ = 173371200.

The previous prime is 520387321. The next prime is 520387349. The reversal of 520387344 is 443783025.

It is a happy number.

The square root of 520387344 is 22812.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43401744 + 476985600 = 6588^2 + 21840^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 520387299 and 520387308.

It is not an unprimeable number, because it can be changed into a prime (520387349) 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 8 ways as a sum of consecutive naturals, for example, 272794 + ... + 274694.

Almost surely, 2520387344 is an apocalyptic number.

520387344 is the 22812-nd square number.

It is an amenable number.

520387344 is an abundant number, since it is smaller than the sum of its proper divisors (936740965).

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

520387344 is an equidigital number, since it uses as much as digits as its factorization.

520387344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The cubic root of 520387344 is about 804.3447693407.

Multiplying 520387344 by its sum of digits (36), we get a square (18733944384 = 1368722).

520387344 divided by its sum of digits (36) gives a square (14455204 = 38022).

The spelling of 520387344 in words is "five hundred twenty million, three hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1901 3802 5703 7604 11406 15208 17109 22812 30416 34218 45624 68436 91248 136872 273744 3613801 7227602 10841403 14455204 21682806 28910408 32524209 43365612 57820816 65048418 86731224 130096836 173462448 260193672 520387344