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328220424 = 23347210337
BaseRepresentation
bin10011100100000…
…011111100001000
3211212121022210000
4103210003330020
51133011023144
652322523000
711063553600
oct2344037410
9755538700
10328220424
111592a9954
1291b06460
1352ccba8c
143183bc00
151dc35769
hex13903f08

328220424 has 120 divisors (see below), whose sum is σ = 1069517790. Its totient is φ = 93768192.

The previous prime is 328220413. The next prime is 328220437. The reversal of 328220424 is 424022823.

It can be written as a sum of positive squares in only one way, i.e., 324648324 + 3572100 = 18018^2 + 1890^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26584 + ... + 36920.

Almost surely, 2328220424 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 328220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534758895).

328220424 is an abundant number, since it is smaller than the sum of its proper divisors (741297366).

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

328220424 is a wasteful number, since it uses less digits than its factorization.

328220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 328220424 is about 18116.8546939031. The cubic root of 328220424 is about 689.7978992226.

The spelling of 328220424 in words is "three hundred twenty-eight million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10337 10584 15876 20674 31011 31752 41348 62022 72359 82696 93033 124044 144718 186066 217077 248088 279099 289436 372132 434154 506513 558198 578872 651231 744264 837297 868308 1013026 1116396 1302462 1519539 1674594 1736616 1953693 2026052 2232792 2604924 3039078 3349188 3907386 4052104 4558617 5209848 5861079 6078156 6698376 7814772 9117234 11722158 12156312 13675851 15629544 18234468 23444316 27351702 36468936 41027553 46888632 54703404 82055106 109406808 164110212 328220424