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192030306 = 231323141149
BaseRepresentation
bin10110111001000…
…10011001100010
3111101100011001120
423130202121202
5343124432211
631015513110
74521142056
oct1334423142
9441304046
10192030306
119943a236
1254388796
1330a26900
141b709c66
1511cd2d06
hexb722662

192030306 has 96 divisors (see below), whose sum is σ = 442713600. Its totient is φ = 55411200.

The previous prime is 192030301. The next prime is 192030313. The reversal of 192030306 is 603030291.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (192030301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1288720 + ... + 1288868.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2192030306 is an apocalyptic number.

It is a pronic number, being equal to 13857×13858.

It is a practical number, because each smaller number is the sum of distinct divisors of 192030306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221356800).

192030306 is an abundant number, since it is smaller than the sum of its proper divisors (250683294).

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

192030306 is a wasteful number, since it uses less digits than its factorization.

192030306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 192030306 is about 13857.4999909796. The cubic root of 192030306 is about 576.9301798702.

Adding to 192030306 its reverse (603030291), we get a palindrome (795060597).

The spelling of 192030306 in words is "one hundred ninety-two million, thirty thousand, three hundred six".

Divisors: 1 2 3 6 13 26 31 39 41 62 78 82 93 123 149 169 186 246 298 338 403 447 507 533 806 894 1014 1066 1209 1271 1599 1937 2418 2542 3198 3813 3874 4619 5239 5811 6109 6929 7626 9238 10478 11622 12218 13857 13858 15717 16523 18327 20787 25181 27714 31434 33046 36654 41574 49569 50362 60047 75543 79417 99138 120094 151086 158834 180141 189379 214799 238251 360282 378758 429598 476502 568137 644397 780611 1032421 1136274 1288794 1561222 2064842 2341833 2461927 3097263 4683666 4923854 6194526 7385781 14771562 32005051 64010102 96015153 192030306