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328345540 = 225292112683
BaseRepresentation
bin10011100100100…
…010011111000100
3211212211200101221
4103210202133010
51133024024130
652325330124
711064614425
oct2344423704
9755750357
10328345540
11159384956
1291b66944
1353043a03
143187164c
151dc5c87a
hex139227c4

328345540 has 48 divisors (see below), whose sum is σ = 716950080. Its totient is φ = 126161280.

The previous prime is 328345529. The next prime is 328345543. The reversal of 328345540 is 45543823.

It is a junction number, because it is equal to n+sod(n) for n = 328345496 and 328345505.

It is not an unprimeable number, because it can be changed into a prime (328345543) 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 15 ways as a sum of consecutive naturals, for example, 121039 + ... + 123721.

It is an arithmetic number, because the mean of its divisors is an integer number (14936460).

Almost surely, 2328345540 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 328345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358475040).

328345540 is an abundant number, since it is smaller than the sum of its proper divisors (388604540).

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

328345540 is a wasteful number, since it uses less digits than its factorization.

328345540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 328345540 is about 18120.3073925361. The cubic root of 328345540 is about 689.8855372687.

The spelling of 328345540 in words is "three hundred twenty-eight million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 211 290 422 580 844 1055 2110 2683 4220 5366 6119 10732 12238 13415 24476 26830 30595 53660 61190 77807 122380 155614 311228 389035 566113 778070 1132226 1556140 2264452 2830565 5661130 11322260 16417277 32834554 65669108 82086385 164172770 328345540