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19808334 = 23371329139
BaseRepresentation
bin100101110010…
…0000001001110
31101021100221000
41023210001032
520032331314
61544321130
7330240150
oct113440116
941240830
1019808334
11101aa327
1267731a6
134147110
1428b8ad0
151b14209
hex12e404e

19808334 has 128 divisors (see below), whose sum is σ = 56448000. Its totient is φ = 5007744.

The previous prime is 19808333. The next prime is 19808351. The reversal of 19808334 is 43380891.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19808333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142437 + ... + 142575.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 219808334 is an apocalyptic number.

19808334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19808334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224000).

19808334 is an abundant number, since it is smaller than the sum of its proper divisors (36639666).

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

19808334 is a wasteful number, since it uses less digits than its factorization.

19808334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 19808334 is about 4450.6554573456. The cubic root of 19808334 is about 270.5718743045.

The spelling of 19808334 in words is "nineteen million, eight hundred eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 29 39 42 54 58 63 78 87 91 117 126 139 174 182 189 203 234 261 273 278 351 377 378 406 417 522 546 609 702 754 783 819 834 973 1131 1218 1251 1566 1638 1807 1827 1946 2262 2457 2502 2639 2919 3393 3614 3654 3753 4031 4914 5278 5421 5481 5838 6786 7506 7917 8062 8757 10179 10842 10962 12093 12649 15834 16263 17514 20358 23751 24186 25298 26271 28217 32526 36279 37947 47502 48789 52403 52542 56434 71253 72558 75894 84651 97578 104806 108837 113841 142506 157209 169302 217674 227682 253953 314418 341523 366821 471627 507906 683046 733642 761859 943254 1100463 1414881 1523718 2200926 2829762 3301389 6602778 9904167 19808334