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68477344 = 2513971697
BaseRepresentation
bin1000001010011…
…10000110100000
311202212000020221
410011032012200
5120012233334
610443412424
71461022255
oct405160640
9152760227
1068477344
1135721051
121ab24114
1311257750
14914742c
1560298b4
hex414e1a0

68477344 has 48 divisors (see below), whose sum is σ = 146768328. Its totient is φ = 31260672.

The previous prime is 68477333. The next prime is 68477363. The reversal of 68477344 is 44377486.

It can be written as a sum of positive squares in 4 ways, for example, as 61779600 + 6697744 = 7860^2 + 2588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68477344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39504 + ... + 41200.

Almost surely, 268477344 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 68477344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73384164).

68477344 is an abundant number, since it is smaller than the sum of its proper divisors (78290984).

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

68477344 is a wasteful number, since it uses less digits than its factorization.

68477344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1809 counting only the distinct ones).

The product of its digits is 451584, while the sum is 43.

The square root of 68477344 is about 8275.1038664176. The cubic root of 68477344 is about 409.1183593462.

The spelling of 68477344 in words is "sixty-eight million, four hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 388 416 776 1261 1552 1697 2522 3104 3394 5044 6788 10088 13576 20176 22061 27152 40352 44122 54304 88244 164609 176488 329218 352976 658436 705952 1316872 2139917 2633744 4279834 5267488 8559668 17119336 34238672 68477344