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68058342 = 232111979229
BaseRepresentation
bin1000000111001…
…11110011100110
311202001201111100
410003213303212
5114410331332
610430420530
71454325552
oct403476346
9152051440
1068058342
1135465270
121a961746
131113bb11
149078862
155e9567c
hex40e7ce6

68058342 has 96 divisors (see below), whose sum is σ = 172224000. Its totient is φ = 19206720.

The previous prime is 68058337. The next prime is 68058343. The reversal of 68058342 is 24385086.

It is a junction number, because it is equal to n+sod(n) for n = 68058297 and 68058306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68058343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297084 + ... + 297312.

It is an arithmetic number, because the mean of its divisors is an integer number (1794000).

Almost surely, 268058342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68058342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86112000).

68058342 is an abundant number, since it is smaller than the sum of its proper divisors (104165658).

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

68058342 is a wasteful number, since it uses less digits than its factorization.

68058342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68058342 is about 8249.7479961512. The cubic root of 68058342 is about 408.2822081579.

It can be divided in two parts, 680583 and 42, that added together give a square (680625 = 8252).

The spelling of 68058342 in words is "sixty-eight million, fifty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 79 99 114 158 171 198 209 229 237 342 418 458 474 627 687 711 869 1254 1374 1422 1501 1738 1881 2061 2519 2607 3002 3762 4122 4351 4503 5038 5214 7557 7821 8702 9006 13053 13509 15114 15642 16511 18091 22671 26106 27018 33022 36182 39159 45342 47861 49533 54273 78318 95722 99066 108546 143583 148599 162819 199001 287166 297198 325638 343729 398002 430749 597003 687458 861498 1031187 1194006 1791009 2062374 3093561 3582018 3781019 6187122 7562038 11343057 22686114 34029171 68058342