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68444244 = 223311173389
BaseRepresentation
bin1000001010001…
…10000001010100
311202210022212000
410011012001110
5120010203434
610442555300
71460523621
oct405060124
9152708760
1068444244
11356a91a0
121ab08b30
131124566b
149139348
15601eb99
hex4146054

68444244 has 96 divisors (see below), whose sum is σ = 205027200. Its totient is φ = 19514880.

The previous prime is 68444231. The next prime is 68444269. The reversal of 68444244 is 44244486.

It is a super-2 number, since 2×684442442 = 9369229073463072, which contains 22 as substring.

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 68444199 and 68444208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18502 + ... + 21890.

It is an arithmetic number, because the mean of its divisors is an integer number (2135700).

Almost surely, 268444244 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 68444244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102513600).

68444244 is an abundant number, since it is smaller than the sum of its proper divisors (136582956).

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

68444244 is a wasteful number, since it uses less digits than its factorization.

68444244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3422 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 68444244 is about 8273.1036497798. The cubic root of 68444244 is about 409.0524299969.

It can be divided in two parts, 684442 and 44, that added together give a palindrome (684486).

The spelling of 68444244 in words is "sixty-eight million, four hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 3389 5049 6732 6778 10098 10167 13556 20196 20334 30501 37279 40668 57613 61002 74558 91503 111837 115226 122004 149116 172839 183006 223674 230452 335511 345678 366012 447348 518517 633743 671022 691356 1006533 1037034 1267486 1342044 1555551 1901229 2013066 2074068 2534972 3111102 3802458 4026132 5703687 6222204 7604916 11407374 17111061 22814748 34222122 68444244