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342322344 = 233271324019
BaseRepresentation
bin10100011001110…
…110110010101000
3212212010202222100
4110121312302220
51200113303334
653545053400
711324456220
oct2431666250
9785122870
10342322344
11166260931
1296787260
1355bc8700
143366d080
15200bdc99
hex14676ca8

342322344 has 144 divisors (see below), whose sum is σ = 1147629600. Its totient is φ = 90260352.

The previous prime is 342322339. The next prime is 342322361. The reversal of 342322344 is 443223243.

342322344 is a `hidden beast` number, since 3 + 423 + 2 + 234 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83167 + ... + 87185.

It is an arithmetic number, because the mean of its divisors is an integer number (7969650).

Almost surely, 2342322344 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 342322344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573814800).

342322344 is an abundant number, since it is smaller than the sum of its proper divisors (805307256).

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

342322344 is a wasteful number, since it uses less digits than its factorization.

342322344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4044 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 342322344 is about 18501.9551399305. The cubic root of 342322344 is about 699.5387056013.

Adding to 342322344 its reverse (443223243), we get a palindrome (785545587).

The spelling of 342322344 in words is "three hundred forty-two million, three hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4019 4056 4732 6084 6552 7098 8038 9464 10647 12057 12168 14196 16076 21294 24114 28133 28392 32152 36171 42588 48228 52247 56266 72342 84399 85176 96456 104494 112532 144684 156741 168798 208988 225064 253197 289368 313482 337596 365729 417976 470223 506394 626964 675192 679211 731458 940446 1012788 1097187 1253928 1358422 1462916 1880892 2025576 2037633 2194374 2716844 2925832 3291561 3761784 4075266 4388748 4754477 5433688 6112899 6583122 8150532 8777496 9508954 12225798 13166244 14263431 16301064 19017908 24451596 26332488 28526862 38035816 42790293 48903192 57053724 85580586 114107448 171161172 342322344