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328808844 = 2232713293461
BaseRepresentation
bin10011100110010…
…011100110001100
3211220201012221100
4103212103212030
51133133340334
652343303100
711101554240
oct2346234614
9756635840
10328808844
11159670a51
129214aa90
1353176860
1431952420
151dceec99
hex1399398c

328808844 has 144 divisors (see below), whose sum is σ = 1058541120. Its totient is φ = 83704320.

The previous prime is 328808839. The next prime is 328808861. The reversal of 328808844 is 448808823.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 328808844.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93274 + ... + 96734.

It is an arithmetic number, because the mean of its divisors is an integer number (7350980).

Almost surely, 2328808844 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 328808844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529270560).

328808844 is an abundant number, since it is smaller than the sum of its proper divisors (729732276).

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

328808844 is a wasteful number, since it uses less digits than its factorization.

328808844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 328808844 is about 18133.0869958758. The cubic root of 328808844 is about 690.2098668483.

The spelling of 328808844 in words is "three hundred twenty-eight million, eight hundred eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2436 2639 3276 3393 3461 3654 4524 5278 6786 6922 7308 7917 10383 10556 13572 13844 15834 20766 23751 24227 31149 31668 41532 44993 47502 48454 62298 72681 89986 95004 96908 100369 124596 134979 145362 179972 200738 218043 269958 290724 301107 314951 401476 404937 436086 539916 602214 629902 702583 809874 872172 903321 944853 1204428 1259804 1304797 1405166 1619748 1806642 1889706 2107749 2609594 2810332 2834559 3613284 3779412 3914391 4215498 5219188 5669118 6323247 7828782 8430996 9133579 11338236 11743173 12646494 15657564 18267158 23486346 25292988 27400737 36534316 46972692 54801474 82202211 109602948 164404422 328808844