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68334264 = 233237113227
BaseRepresentation
bin1000001001010…
…11001010111000
311202120201222200
410010223022320
5114443144024
610440350200
71456555155
oct404531270
9152521880
1068334264
11356335a9
121aa75360
131120759b
14910b22c
155eec2c9
hex412b2b8

68334264 has 96 divisors (see below), whose sum is σ = 192600720. Its totient is φ = 21869568.

The previous prime is 68334257. The next prime is 68334281. The reversal of 68334264 is 46243386.

It is a happy number.

68334264 is a `hidden beast` number, since 68 + 334 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300919 + ... + 301145.

Almost surely, 268334264 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 68334264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96300360).

68334264 is an abundant number, since it is smaller than the sum of its proper divisors (124266456).

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

68334264 is a wasteful number, since it uses less digits than its factorization.

68334264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 382 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 68334264 is about 8266.4541370530. The cubic root of 68334264 is about 408.8332165110.

The spelling of 68334264 in words is "sixty-eight million, three hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 113 148 222 226 227 296 333 339 444 452 454 666 678 681 888 904 908 1017 1332 1356 1362 1816 2034 2043 2664 2712 2724 4068 4086 4181 5448 8136 8172 8362 8399 12543 16344 16724 16798 25086 25197 25651 33448 33596 37629 50172 50394 51302 67192 75258 75591 76953 100344 100788 102604 150516 151182 153906 201576 205208 230859 301032 302364 307812 461718 604728 615624 923436 949087 1846872 1898174 2847261 3796348 5694522 7592696 8541783 11389044 17083566 22778088 34167132 68334264