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342337968 = 24337791433
BaseRepresentation
bin10100011001111…
…010100110110000
3212212011120102000
4110121322212300
51200114303333
653545254000
711324552610
oct2431724660
9785146360
10342337968
11166271645
1296794300
1355c0285b
1433674a40
15200c3713
hex1467a9b0

342337968 has 160 divisors (see below), whose sum is σ = 1138022400. Its totient is φ = 96505344.

The previous prime is 342337951. The next prime is 342337973. The reversal of 342337968 is 869733243.

342337968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 238180 + ... + 239612.

It is an arithmetic number, because the mean of its divisors is an integer number (7112640).

Almost surely, 2342337968 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 342337968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569011200).

342337968 is an abundant number, since it is smaller than the sum of its proper divisors (795684432).

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

342337968 is a wasteful number, since it uses less digits than its factorization.

342337968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 342337968 is about 18502.3773607610. The cubic root of 342337968 is about 699.5493480329.

The spelling of 342337968 in words is "three hundred forty-two million, three hundred thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 79 84 108 112 126 144 158 168 189 216 237 252 316 336 378 432 474 504 553 632 711 756 948 1008 1106 1264 1422 1433 1512 1659 1896 2133 2212 2844 2866 3024 3318 3792 4266 4299 4424 4977 5688 5732 6636 8532 8598 8848 9954 10031 11376 11464 12897 13272 14931 17064 17196 19908 20062 22928 25794 26544 29862 30093 34128 34392 38691 39816 40124 51588 59724 60186 68784 77382 79632 80248 90279 103176 113207 119448 120372 154764 160496 180558 206352 226414 238896 240744 270837 309528 339621 361116 452828 481488 541674 619056 679242 722232 792449 905656 1018863 1083348 1358484 1444464 1584898 1811312 2037726 2166696 2377347 2716968 3056589 3169796 4075452 4333392 4754694 5433936 6113178 6339592 7132041 8150904 9509388 12226356 12679184 14264082 16301808 19018776 21396123 24452712 28528164 38037552 42792246 48905424 57056328 85584492 114112656 171168984 342337968