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68250336 = 25372111319
BaseRepresentation
bin1000001000101…
…10101011100000
311202102110212020
410010112223200
5114433002321
610434501440
71456055400
oct404265340
9152373766
1068250336
1135586540
121aa34880
13111a831b
1490c8800
155ed24c6
hex4116ae0

68250336 has 144 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 17713920.

The previous prime is 68250323. The next prime is 68250349. The reversal of 68250336 is 63305286.

It is an interprime number because it is at equal distance from previous prime (68250323) and next prime (68250349).

It is a super-2 number, since 2×682503362 = 9316216728225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 68250297 and 68250306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51085 + ... + 52403.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 268250336 is an apocalyptic number.

68250336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68250336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

68250336 is an abundant number, since it is smaller than the sum of its proper divisors (159275424).

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

68250336 is a wasteful number, since it uses less digits than its factorization.

68250336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 68250336 is about 8261.3761565492. The cubic root of 68250336 is about 408.6657719070.

It can be divided in two parts, 68250 and 336, that added together give a palindrome (68586).

The spelling of 68250336 in words is "sixty-eight million, two hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1319 1568 1617 1848 2156 2352 2464 2638 3234 3696 3957 4312 4704 5276 6468 7392 7914 8624 9233 10552 12936 14509 15828 17248 18466 21104 25872 27699 29018 31656 36932 42208 43527 51744 55398 58036 63312 64631 73864 87054 101563 110796 116072 126624 129262 147728 174108 193893 203126 221592 232144 258524 295456 304689 348216 387786 406252 443184 464288 517048 609378 696432 710941 775572 812504 886368 1034096 1218756 1392864 1421882 1551144 1625008 2068192 2132823 2437512 2843764 3102288 3250016 4265646 4875024 5687528 6204576 8531292 9750048 11375056 17062584 22750112 34125168 68250336