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328892240 = 24510937717
BaseRepresentation
bin10011100110100…
…111111101010000
3211220212110100002
4103212213331100
51133144022430
652345145132
711102352335
oct2346477520
9756773302
10328892240
11159718676
129218b1a8
13531a57c1
143197498c
151dd19845
hex139a7f50

328892240 has 40 divisors (see below), whose sum is σ = 771710280. Its totient is φ = 130346496.

The previous prime is 328892233. The next prime is 328892243. The reversal of 328892240 is 42298823.

328892240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 159163456 + 169728784 = 12616^2 + 13028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 328892194 and 328892203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328892243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10139 + ... + 27578.

It is an arithmetic number, because the mean of its divisors is an integer number (19292757).

Almost surely, 2328892240 is an apocalyptic number.

It is an amenable number.

328892240 is an abundant number, since it is smaller than the sum of its proper divisors (442818040).

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

328892240 is a wasteful number, since it uses less digits than its factorization.

328892240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37839 (or 37833 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 328892240 is about 18135.3864033828. The cubic root of 328892240 is about 690.2682147075.

The spelling of 328892240 in words is "three hundred twenty-eight million, eight hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 37717 75434 150868 188585 301736 377170 603472 754340 1508680 3017360 4111153 8222306 16444612 20555765 32889224 41111530 65778448 82223060 164446120 328892240