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328396224 = 26313413209
BaseRepresentation
bin10011100100101…
…110110111000000
3211212221020221010
4103210232313000
51133032134344
652330400520
711065215252
oct2344566700
9755836833
10328396224
11159409a42
1291b90140
1353060ac0
1431885cd2
151dc6c8b9
hex1392edc0

328396224 has 112 divisors (see below), whose sum is σ = 958839840. Its totient is φ = 98549760.

The previous prime is 328396169. The next prime is 328396249. The reversal of 328396224 is 422693823.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 100732 + ... + 103940.

It is an arithmetic number, because the mean of its divisors is an integer number (8561070).

Almost surely, 2328396224 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 328396224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479419920).

328396224 is an abundant number, since it is smaller than the sum of its proper divisors (630443616).

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

328396224 is a wasteful number, since it uses less digits than its factorization.

328396224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3268 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 328396224 is about 18121.7058799662. The cubic root of 328396224 is about 689.9210327609.

The spelling of 328396224 in words is "three hundred twenty-eight million, three hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 156 164 192 208 246 312 328 416 492 533 624 656 832 984 1066 1248 1312 1599 1968 2132 2496 2624 3198 3209 3936 4264 6396 6418 7872 8528 9627 12792 12836 17056 19254 25584 25672 34112 38508 41717 51168 51344 77016 83434 102336 102688 125151 131569 154032 166868 205376 250302 263138 308064 333736 394707 500604 526276 616128 667472 789414 1001208 1052552 1334944 1578828 1710397 2002416 2105104 2669888 3157656 3420794 4004832 4210208 5131191 6315312 6841588 8009664 8420416 10262382 12630624 13683176 20524764 25261248 27366352 41049528 54732704 82099056 109465408 164198112 328396224