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193794084 = 2232112172617
BaseRepresentation
bin10111000110100…
…01000000100100
3111111122202111200
423203101000210
5344102402314
631121402500
74542136221
oct1343210044
9444582450
10193794084
119a434400
1254a99430
13311c3673
141ba48948
1512030709
hexb8d1024

193794084 has 108 divisors (see below), whose sum is σ = 570341772. Its totient is φ = 55249920.

The previous prime is 193794079. The next prime is 193794089. The reversal of 193794084 is 480497391.

It is an interprime number because it is at equal distance from previous prime (193794079) and next prime (193794089).

It can be written as a sum of positive squares in 2 ways, for example, as 174240000 + 19554084 = 13200^2 + 4422^2 .

It is a super-2 number, since 2×1937940842 = 75112293986798112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193794089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72744 + ... + 75360.

Almost surely, 2193794084 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 193794084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285170886).

193794084 is an abundant number, since it is smaller than the sum of its proper divisors (376547688).

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

193794084 is a wasteful number, since it uses less digits than its factorization.

193794084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 193794084 is about 13920.9943610361. The cubic root of 193794084 is about 578.6911469029.

The spelling of 193794084 in words is "one hundred ninety-three million, seven hundred ninety-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 2617 3366 4114 4356 5234 6171 6732 7851 8228 10468 12342 15702 18513 23553 24684 28787 31404 37026 44489 47106 57574 74052 86361 88978 94212 115148 133467 172722 177956 259083 266934 316657 345444 400401 489379 518166 533868 633314 800802 949971 978758 1036332 1266628 1468137 1601604 1899942 1957516 2849913 2936274 3799884 4404411 5383169 5699826 5872548 8808822 10766338 11399652 16149507 17617644 21532676 32299014 48448521 64598028 96897042 193794084