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342746082 = 23272794919
BaseRepresentation
bin10100011011011…
…110001111100010
3212212221022020100
4110123132033202
51200220333312
654002123230
711331202500
oct2433361742
9785838210
10342746082
11166520228
1296950516
1356016543
143373d670
15201545dc
hex146de3e2

342746082 has 72 divisors (see below), whose sum is σ = 874972800. Its totient is φ = 96668208.

The previous prime is 342746057. The next prime is 342746087. The reversal of 342746082 is 280647243.

342746082 is a `hidden beast` number, since 3 + 42 + 7 + 4 + 608 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342746087) 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, 67219 + ... + 72137.

It is an arithmetic number, because the mean of its divisors is an integer number (12152400).

Almost surely, 2342746082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342746082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437486400).

342746082 is an abundant number, since it is smaller than the sum of its proper divisors (532226718).

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

342746082 is a wasteful number, since it uses less digits than its factorization.

342746082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 342746082 is about 18513.4027666445. The cubic root of 342746082 is about 699.8272240251.

The spelling of 342746082 in words is "three hundred forty-two million, seven hundred forty-six thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 79 98 126 147 158 237 294 441 474 553 711 882 1106 1422 1659 3318 3871 4919 4977 7742 9838 9954 11613 14757 23226 29514 34433 34839 44271 68866 69678 88542 103299 206598 241031 309897 388601 482062 619794 723093 777202 1165803 1446186 2169279 2331606 2720207 3497409 4338558 5440414 6994818 8160621 16321242 19041449 24481863 38082898 48963726 57124347 114248694 171373041 342746082