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1230516342 = 23211192911279
BaseRepresentation
bin100100101011000…
…0011000001110110
310011202102201002100
41021112003001312
510010003010332
6322034122530
742331134126
oct11126030166
93152381070
101230516342
1158165a160
122a4120446
13167c1a4a3
14b95d4c86
157306767c
hex49583076

1230516342 has 96 divisors (see below), whose sum is σ = 3167424000. Its totient is φ = 341046720.

The previous prime is 1230516299. The next prime is 1230516349. The reversal of 1230516342 is 2436150321.

1230516342 is a `hidden beast` number, since 1 + 2 + 305 + 16 + 342 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230516349) 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, 103459 + ... + 114737.

It is an arithmetic number, because the mean of its divisors is an integer number (32994000).

Almost surely, 21230516342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230516342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583712000).

1230516342 is an abundant number, since it is smaller than the sum of its proper divisors (1936907658).

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

1230516342 is a wasteful number, since it uses less digits than its factorization.

1230516342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1230516342 is about 35078.7163676210. The cubic root of 1230516342 is about 1071.5911755804.

Adding to 1230516342 its reverse (2436150321), we get a palindrome (3666666663).

The spelling of 1230516342 in words is "one billion, two hundred thirty million, five hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 29 33 38 57 58 66 87 99 114 171 174 198 209 261 319 342 418 522 551 627 638 957 1102 1254 1653 1881 1914 2871 3306 3762 4959 5742 6061 9918 11279 12122 18183 22558 33837 36366 54549 67674 101511 109098 124069 203022 214301 248138 327091 372207 428602 642903 654182 744414 981273 1116621 1285806 1928709 1962546 2233242 2357311 2943819 3598001 3857418 4714622 5887638 6214729 7071933 7196002 10794003 12429458 14143866 18644187 21215799 21588006 32382009 37288374 42431598 55932561 64764018 68362019 111865122 136724038 205086057 410172114 615258171 1230516342