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68274024 = 23371343727
BaseRepresentation
bin1000001000111…
…00011101101000
311202110200100120
410010130131220
5114434232044
610435203240
71456214430
oct404343550
9152420316
1068274024
11355a2315
121aa46520
13111b6040
1490d32c0
155ed9519
hex411c768

68274024 has 128 divisors (see below), whose sum is σ = 215255040. Its totient is φ = 17563392.

The previous prime is 68274013. The next prime is 68274043. The reversal of 68274024 is 42047286.

It is a super-2 number, since 2×682740242 = 9322684706305152, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 93549 + ... + 94275.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 268274024 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 68274024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107627520).

68274024 is an abundant number, since it is smaller than the sum of its proper divisors (146981016).

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

68274024 is a wasteful number, since it uses less digits than its factorization.

68274024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 68274024 is about 8262.8096916243. The cubic root of 68274024 is about 408.7130456917.

The spelling of 68274024 in words is "sixty-eight million, two hundred seventy-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 43 52 56 78 84 86 91 104 129 156 168 172 182 258 273 301 312 344 364 516 546 559 602 727 728 903 1032 1092 1118 1204 1454 1677 1806 2181 2184 2236 2408 2908 3354 3612 3913 4362 4472 5089 5816 6708 7224 7826 8724 9451 10178 11739 13416 15267 15652 17448 18902 20356 23478 28353 30534 31261 31304 37804 40712 46956 56706 61068 62522 66157 75608 93783 93912 113412 122136 125044 132314 187566 198471 218827 226824 250088 264628 375132 396942 406393 437654 529256 656481 750264 793884 812786 875308 1219179 1312962 1587768 1625572 1750616 2438358 2625924 2844751 3251144 4876716 5251848 5689502 8534253 9753432 11379004 17068506 22758008 34137012 68274024