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68218038 = 2347431399
BaseRepresentation
bin1000001000011…
…10110010110110
311202100211120000
410010032302312
5114430434123
610434052130
71455562260
oct404166266
9152324500
1068218038
1135564249
121aa1a046
1311196705
1490bab30
155ec7b43
hex410ecb6

68218038 has 80 divisors (see below), whose sum is σ = 178886400. Its totient is φ = 19023984.

The previous prime is 68218027. The next prime is 68218061. The reversal of 68218038 is 83081286.

It is a super-3 number, since 3×682180383 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68217993 and 68218011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48063 + ... + 49461.

It is an arithmetic number, because the mean of its divisors is an integer number (2236080).

Almost surely, 268218038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68218038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89443200).

68218038 is an abundant number, since it is smaller than the sum of its proper divisors (110668362).

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

68218038 is a wasteful number, since it uses less digits than its factorization.

68218038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68218038 is about 8259.4211661593. The cubic root of 68218038 is about 408.6012976470.

The spelling of 68218038 in words is "sixty-eight million, two hundred eighteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 258 301 378 387 567 602 774 903 1134 1161 1399 1806 2322 2709 2798 3483 4197 5418 6966 8127 8394 9793 12591 16254 19586 24381 25182 29379 37773 48762 58758 60157 75546 88137 113319 120314 176274 180471 226638 264411 360942 421099 528822 541413 793233 842198 1082826 1263297 1586466 1624239 2526594 3248478 3789891 4872717 7579782 9745434 11369673 22739346 34109019 68218038