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326521540 = 225412331709
BaseRepresentation
bin10011011101100…
…101001011000100
3211202102000100101
4103131211023010
51132042142130
652222253444
711043246562
oct2335451304
9752360311
10326521540
11158349514
1291427284
1352855717
1431518a32
151d9ec1ca
hex137652c4

326521540 has 48 divisors (see below), whose sum is σ = 705846960. Its totient is φ = 126801920.

The previous prime is 326521537. The next prime is 326521541. The reversal of 326521540 is 45125623.

It can be written as a sum of positive squares in 8 ways, for example, as 129231424 + 197290116 = 11368^2 + 14046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 326521499 and 326521508.

It is not an unprimeable number, because it can be changed into a prime (326521541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190206 + ... + 191914.

It is an arithmetic number, because the mean of its divisors is an integer number (14705145).

Almost surely, 2326521540 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 326521540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352923480).

326521540 is an abundant number, since it is smaller than the sum of its proper divisors (379325420).

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

326521540 is a wasteful number, since it uses less digits than its factorization.

326521540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 326521540 is about 18069.9070279844. The cubic root of 326521540 is about 688.6056980110.

The spelling of 326521540 in words is "three hundred twenty-six million, five hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 233 410 466 820 932 1165 1709 2330 3418 4660 6836 8545 9553 17090 19106 34180 38212 47765 70069 95530 140138 191060 280276 350345 398197 700690 796394 1401380 1592788 1990985 3981970 7963940 16326077 32652154 65304308 81630385 163260770 326521540