Search a number
-
+
198329904 = 24331973331
BaseRepresentation
bin10111101001001…
…00011000110000
3111211012012111000
423310210120300
5401233024104
631402522000
74625530203
oct1364443060
9454165430
10198329904
11a1a52213
1256506300
1332121096
141c4a993a
1512629639
hexbd24630

198329904 has 160 divisors (see below), whose sum is σ = 609286400. Its totient is φ = 61585920.

The previous prime is 198329881. The next prime is 198329917. The reversal of 198329904 is 409923891.

It is a self number, because there is not a number n which added to its sum of digits gives 198329904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599019 + ... + 599349.

It is an arithmetic number, because the mean of its divisors is an integer number (3808040).

Almost surely, 2198329904 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 198329904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304643200).

198329904 is an abundant number, since it is smaller than the sum of its proper divisors (410956496).

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

198329904 is a wasteful number, since it uses less digits than its factorization.

198329904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 198329904 is about 14082.9650287147. The cubic root of 198329904 is about 583.1711987674.

The spelling of 198329904 in words is "one hundred ninety-eight million, three hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 73 76 108 114 144 146 152 171 216 219 228 292 304 331 342 432 438 456 513 584 657 662 684 876 912 993 1026 1168 1314 1324 1368 1387 1752 1971 1986 2052 2628 2648 2736 2774 2979 3504 3942 3972 4104 4161 5256 5296 5548 5958 6289 7884 7944 8208 8322 8937 10512 11096 11916 12483 12578 15768 15888 16644 17874 18867 22192 23832 24163 24966 25156 31536 33288 35748 37449 37734 47664 48326 49932 50312 56601 66576 71496 72489 74898 75468 96652 99864 100624 113202 142992 144978 149796 150936 169803 193304 199728 217467 226404 289956 299592 301872 339606 386608 434934 452808 459097 579912 599184 652401 679212 869868 905616 918194 1159824 1304802 1358424 1377291 1739736 1836388 2609604 2716848 2754582 3479472 3672776 4131873 5219208 5509164 7345552 8263746 10438416 11018328 12395619 16527492 22036656 24791238 33054984 49582476 66109968 99164952 198329904