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328585634260 = 225131263790901
BaseRepresentation
bin1001100100000010011…
…10101110000111010100
31011102010200211201001221
410302001032232013110
520340420410244020
6410541122300124
732511441544042
oct4620116560724
91142120751057
10328585634260
1111739702a424
12538227b7644
1324ca71854b0
1411c917b9392
1588320566aa
hex4c813ae1d4

328585634260 has 24 divisors (see below), whose sum is σ = 743109050376. Its totient is φ = 121323926400.

The previous prime is 328585634239. The next prime is 328585634287. The reversal of 328585634260 is 62436585823.

It can be written as a sum of positive squares in 4 ways, for example, as 1186526916 + 327399107344 = 34446^2 + 572188^2 .

It is a super-3 number, since 3×3285856342603 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 328585634198 and 328585634207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631895191 + ... + 631895710.

It is an arithmetic number, because the mean of its divisors is an integer number (30962877099).

Almost surely, 2328585634260 is an apocalyptic number.

It is an amenable number.

328585634260 is an abundant number, since it is smaller than the sum of its proper divisors (414523416116).

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

328585634260 is a wasteful number, since it uses less digits than its factorization.

328585634260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263790923 (or 1263790921 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 328585634260 in words is "three hundred twenty-eight billion, five hundred eighty-five million, six hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1263790901 2527581802 5055163604 6318954505 12637909010 16429281713 25275818020 32858563426 65717126852 82146408565 164292817130 328585634260