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68706336 = 2532329237
BaseRepresentation
bin1000001100001…
…10000000100000
311210021122101010
410012012000200
5120042100321
610452340520
71462665006
oct406060040
9153248333
1068706336
11358680a6
121b014740
1311307a4a
1491a6a76
156072676
hex4186020

68706336 has 144 divisors (see below), whose sum is σ = 200176704. Its totient is φ = 20579328.

The previous prime is 68706331. The next prime is 68706343. The reversal of 68706336 is 63360786.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 68706294 and 68706303.

It is not an unprimeable number, because it can be changed into a prime (68706331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1856910 + ... + 1856946.

It is an arithmetic number, because the mean of its divisors is an integer number (1390116).

Almost surely, 268706336 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 68706336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100088352).

68706336 is an abundant number, since it is smaller than the sum of its proper divisors (131470368).

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

68706336 is a wasteful number, since it uses less digits than its factorization.

68706336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 68706336 is about 8288.9285194167. The cubic root of 68706336 is about 409.5738900389.

The spelling of 68706336 in words is "sixty-eight million, seven hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 37 46 48 58 69 74 87 92 96 111 116 138 148 174 184 222 232 276 296 348 368 444 464 552 592 667 696 736 841 851 888 928 1073 1104 1184 1334 1392 1682 1702 1776 2001 2146 2208 2523 2553 2668 2784 3219 3364 3404 3552 4002 4292 5046 5106 5336 6438 6728 6808 8004 8584 10092 10212 10672 12876 13456 13616 16008 17168 19343 20184 20424 21344 24679 25752 26912 27232 31117 32016 34336 38686 40368 40848 49358 51504 58029 62234 64032 74037 77372 80736 81696 93351 98716 103008 116058 124468 148074 154744 186702 197432 232116 248936 296148 309488 373404 394864 464232 497872 592296 618976 715691 746808 789728 928464 995744 1184592 1431382 1493616 1856928 2147073 2369184 2862764 2987232 4294146 5725528 8588292 11451056 17176584 22902112 34353168 68706336