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328402404 = 223311491563
BaseRepresentation
bin10011100100110…
…000010111100100
3211212221120102000
4103210300113210
51133032334104
652330445300
711065242261
oct2344602744
9755846360
10328402404
11159413650
1291b93830
1353063865
1431888268
151dc6e639
hex139305e4

328402404 has 96 divisors (see below), whose sum is σ = 932359680. Its totient is φ = 99136800.

The previous prime is 328402381. The next prime is 328402411. The reversal of 328402404 is 404204823.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 583027 + ... + 583589.

It is an arithmetic number, because the mean of its divisors is an integer number (9712080).

Almost surely, 2328402404 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 328402404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466179840).

328402404 is an abundant number, since it is smaller than the sum of its proper divisors (603957276).

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

328402404 is a wasteful number, since it uses less digits than its factorization.

328402404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

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

The square root of 328402404 is about 18121.8763929125. The cubic root of 328402404 is about 689.9253605463.

The spelling of 328402404 in words is "three hundred twenty-eight million, four hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 491 563 594 982 1126 1188 1473 1689 1964 2252 2946 3378 4419 5067 5401 5892 6193 6756 8838 10134 10802 12386 13257 15201 16203 17676 18579 20268 21604 24772 26514 30402 32406 37158 48609 53028 55737 60804 64812 74316 97218 111474 145827 167211 194436 222948 276433 291654 334422 552866 583308 668844 829299 1105732 1658598 2487897 3040763 3317196 4975794 6081526 7463691 9122289 9951588 12163052 14927382 18244578 27366867 29854764 36489156 54733734 82100601 109467468 164201202 328402404