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520344032 = 251319431531
BaseRepresentation
bin11111000000111…
…101000111100000
31100021010012211012
4133000331013200
52031202002112
6123344440052
715615564665
oct3700750740
91307105735
10520344032
112477a219a
12126319028
1383a58ca0
144d16da6c
1530a36022
hex1f03d1e0

520344032 has 96 divisors (see below), whose sum is σ = 1189077120. Its totient is φ = 222082560.

The previous prime is 520344029. The next prime is 520344067. The reversal of 520344032 is 230443025.

It is a junction number, because it is equal to n+sod(n) for n = 520343989 and 520344007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339107 + ... + 340637.

It is an arithmetic number, because the mean of its divisors is an integer number (12386220).

Almost surely, 2520344032 is an apocalyptic number.

520344032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594538560).

520344032 is an abundant number, since it is smaller than the sum of its proper divisors (668733088).

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

520344032 is a wasteful number, since it uses less digits than its factorization.

520344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 520344032 is about 22811.0506553293. The cubic root of 520344032 is about 804.3224534334.

Adding to 520344032 its reverse (230443025), we get a palindrome (750787057).

It can be divided in two parts, 5203 and 44032, that multiplied together give a square (229098496 = 151362).

The spelling of 520344032 in words is "five hundred twenty million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 43 52 76 86 104 152 172 208 247 304 344 416 494 559 608 688 817 988 1118 1376 1531 1634 1976 2236 3062 3268 3952 4472 6124 6536 7904 8944 10621 12248 13072 17888 19903 21242 24496 26144 29089 39806 42484 48992 58178 65833 79612 84968 116356 131666 159224 169936 232712 263332 318448 339872 378157 465424 526664 636896 756314 855829 930848 1053328 1250827 1512628 1711658 2106656 2501654 3025256 3423316 5003308 6050512 6846632 10006616 12101024 13693264 16260751 20013232 27386528 32521502 40026464 65043004 130086008 260172016 520344032