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68401344 = 26311139233
BaseRepresentation
bin1000001001110…
…11100011000000
311202201011000010
410010323203000
5120002320334
610442024520
71460254554
oct404734300
9152634003
1068401344
1135679a40
121aaa8140
131122bc8b
149127864
1560120e9
hex413b8c0

68401344 has 112 divisors (see below), whose sum is σ = 199704960. Its totient is φ = 20490240.

The previous prime is 68401327. The next prime is 68401351. The reversal of 68401344 is 44310486.

It is a super-2 number, since 2×684013442 = 9357487722012672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293452 + ... + 293684.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 268401344 is an apocalyptic number.

68401344 is a gapful number since it is divisible by the number (64) 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 68401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

68401344 is an abundant number, since it is smaller than the sum of its proper divisors (131303616).

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

68401344 is a wasteful number, since it uses less digits than its factorization.

68401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 68401344 is about 8270.5105041950. The cubic root of 68401344 is about 408.9669491449.

The spelling of 68401344 in words is "sixty-eight million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 139 176 192 233 264 278 352 417 466 528 556 699 704 834 932 1056 1112 1398 1529 1668 1864 2112 2224 2563 2796 3058 3336 3728 4448 4587 5126 5592 6116 6672 7456 7689 8896 9174 10252 11184 12232 13344 14912 15378 18348 20504 22368 24464 26688 30756 32387 36696 41008 44736 48928 61512 64774 73392 82016 97161 97856 123024 129548 146784 164032 194322 246048 259096 293568 356257 388644 492096 518192 712514 777288 1036384 1068771 1425028 1554576 2072768 2137542 2850056 3109152 4275084 5700112 6218304 8550168 11400224 17100336 22800448 34200672 68401344