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68409264 = 24371183223
BaseRepresentation
bin1000001001111…
…01011110110000
311202201112212110
410010331132300
5120003044024
610442125320
71460316630
oct404753660
9152645773
1068409264
1135684990
121aab0840
1311232771
14912a6c0
156014629
hex413d7b0

68409264 has 160 divisors (see below), whose sum is σ = 223985664. Its totient is φ = 17475840.

The previous prime is 68409247. The next prime is 68409277. The reversal of 68409264 is 46290486.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306657 + ... + 306879.

Almost surely, 268409264 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 68409264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111992832).

68409264 is an abundant number, since it is smaller than the sum of its proper divisors (155576400).

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

68409264 is a wasteful number, since it uses less digits than its factorization.

68409264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 68409264 is about 8270.9892999568. The cubic root of 68409264 is about 408.9827329148.

The spelling of 68409264 in words is "sixty-eight million, four hundred nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 83 84 88 112 132 154 166 168 176 223 231 249 264 308 332 336 446 462 498 528 581 616 664 669 892 913 924 996 1162 1232 1328 1338 1561 1743 1784 1826 1848 1992 2324 2453 2676 2739 3122 3486 3568 3652 3696 3984 4648 4683 4906 5352 5478 6244 6391 6972 7304 7359 9296 9366 9812 10704 10956 12488 12782 13944 14608 14718 17171 18509 18732 19173 19624 21912 24976 25564 27888 29436 34342 37018 37464 38346 39248 43824 51128 51513 55527 58872 68684 74036 74928 76692 102256 103026 111054 117744 129563 137368 148072 153384 203599 206052 222108 259126 274736 296144 306768 388689 407198 412104 444216 518252 610797 777378 814396 824208 888432 1036504 1221594 1425193 1554756 1628792 2073008 2443188 2850386 3109512 3257584 4275579 4886376 5700772 6219024 8551158 9772752 11401544 17102316 22803088 34204632 68409264