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68344584 = 233711311193
BaseRepresentation
bin1000001001011…
…01101100001000
311202121021010220
410010231230020
5114444011314
610440510040
71456630230
oct404555410
9152537126
1068344584
1135640330
121aa7b320
131120c1a9
149110cc0
1560003a9
hex412db08

68344584 has 128 divisors (see below), whose sum is σ = 220078080. Its totient is φ = 17164800.

The previous prime is 68344567. The next prime is 68344589. The reversal of 68344584 is 48544386.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (68344589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56692 + ... + 57884.

It is an arithmetic number, because the mean of its divisors is an integer number (1719360).

Almost surely, 268344584 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 68344584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110039040).

68344584 is an abundant number, since it is smaller than the sum of its proper divisors (151733496).

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

68344584 is a wasteful number, since it uses less digits than its factorization.

68344584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1247 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 68344584 is about 8267.0783230837. The cubic root of 68344584 is about 408.8537964571.

The spelling of 68344584 in words is "sixty-eight million, three hundred forty-four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 924 1023 1193 1302 1364 1736 1848 2046 2386 2387 2604 2728 3579 4092 4772 4774 5208 7158 7161 8184 8351 9544 9548 13123 14316 14322 16702 19096 25053 26246 28632 28644 33404 36983 39369 50106 52492 57288 66808 73966 78738 91861 100212 104984 110949 147932 157476 183722 200424 221898 258881 275583 295864 314952 367444 406813 443796 517762 551166 734888 776643 813626 887592 1035524 1102332 1220439 1553286 1627252 2071048 2204664 2440878 2847691 3106572 3254504 4881756 5695382 6213144 8543073 9763512 11390764 17086146 22781528 34172292 68344584