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68377386 = 2371147267
BaseRepresentation
bin1000001001101…
…01101100101010
311202122221010210
410010311230222
5120001034021
610441321550
71460124660
oct404655452
9152587123
1068377386
1135662a40
121aa962b6
13112210bc
14911cc30
156009e76
hex4135b2a

68377386 has 96 divisors (see below), whose sum is σ = 176804352. Its totient is φ = 17123040.

The previous prime is 68377363. The next prime is 68377399.

68377386 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020525 + ... + 1020591.

It is an arithmetic number, because the mean of its divisors is an integer number (1841712).

Almost surely, 268377386 is an apocalyptic number.

68377386 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68377386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88402176).

68377386 is an abundant number, since it is smaller than the sum of its proper divisors (108426966).

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

68377386 is a wasteful number, since it uses less digits than its factorization.

68377386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 137 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 68377386 is about 8269.0619782415. The cubic root of 68377386 is about 408.9191958223.

The spelling of 68377386 in words is "sixty-eight million, three hundred seventy-seven thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 67 77 94 134 141 154 201 231 282 329 402 462 469 517 658 737 938 987 1034 1407 1474 1551 1974 2209 2211 2814 3102 3149 3619 4418 4422 5159 6298 6627 7238 9447 10318 10857 13254 15463 15477 18894 21714 22043 24299 30926 30954 34639 44086 46389 48598 66129 69278 72897 92778 103917 132258 145794 148003 170093 207834 242473 296006 340186 444009 484946 510279 727419 888018 1020558 1036021 1454838 1628033 2072042 3108063 3256066 4884099 6216126 9768198 11396231 22792462 34188693 68377386