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302434101342 = 2322343110915319
BaseRepresentation
bin1000110011010100111…
…10100010100001011110
31001220122011010012001200
410121222132202201132
514423341112220332
6350534124220330
730564412305612
oct4315236424136
91056564105050
10302434101342
111072971906aa
124a74469a6a6
132269a1c7269
14108d051b342
157d0121e17c
hex466a7a285e

302434101342 has 96 divisors (see below), whose sum is σ = 700342156800. Its totient is φ = 94094675136.

The previous prime is 302434101341. The next prime is 302434101367. The reversal of 302434101342 is 243101434203.

302434101342 is a `hidden beast` number, since 3 + 0 + 243 + 410 + 1 + 3 + 4 + 2 = 666.

302434101342 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302434101341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19734759 + ... + 19750077.

It is an arithmetic number, because the mean of its divisors is an integer number (7295230800).

Almost surely, 2302434101342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302434101342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350171078400).

302434101342 is an abundant number, since it is smaller than the sum of its proper divisors (397908055458).

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

302434101342 is a wasteful number, since it uses less digits than its factorization.

302434101342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16502 (or 16499 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 302434101342 its reverse (243101434203), we get a palindrome (545535535545).

The spelling of 302434101342 in words is "three hundred two billion, four hundred thirty-four million, one hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 774 989 1109 1978 2218 2967 3327 5934 6654 8901 9981 15319 17802 19962 25507 30638 45957 47687 51014 76521 91914 95374 137871 143061 153042 229563 275742 286122 352337 429183 459126 658717 704674 858366 1057011 1096801 1317434 1976151 2114022 2193602 3171033 3290403 3952302 5928453 6342066 6580806 9871209 11856906 15150491 16988771 19742418 30300982 33977542 45451473 50966313 90902946 101932626 136354419 152898939 272708838 305797878 390741733 730517153 781483466 1172225199 1461034306 2191551459 2344450398 3516675597 4383102918 6574654377 7033351194 13149308754 16801894519 33603789038 50405683557 100811367114 151217050671 302434101342