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68413644 = 223213178599
BaseRepresentation
bin1000001001111…
…10100011001100
311202201202212200
410010332203030
5120003214034
610442201500
71460335455
oct404764314
9152652780
1068413644
1135688202
121aab3290
1311234760
14912c12c
156015a99
hex413e8cc

68413644 has 72 divisors (see below), whose sum is σ = 197215200. Its totient is φ = 19809792.

The previous prime is 68413643. The next prime is 68413649. The reversal of 68413644 is 44631486.

68413644 is a `hidden beast` number, since 6 + 8 + 4 + 1 + 3 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 68413599 and 68413608.

It is not an unprimeable number, because it can be changed into a prime (68413643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3657 + ... + 12255.

It is an arithmetic number, because the mean of its divisors is an integer number (2739100).

Almost surely, 268413644 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 68413644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98607600).

68413644 is an abundant number, since it is smaller than the sum of its proper divisors (128801556).

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

68413644 is a wasteful number, since it uses less digits than its factorization.

68413644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8639 (or 8634 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 68413644 is about 8271.2540766198. The cubic root of 68413644 is about 408.9914612947.

The spelling of 68413644 in words is "sixty-eight million, four hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 8599 17198 25797 34396 51594 77391 103188 111787 146183 154782 223574 292366 309564 335361 438549 447148 584732 670722 877098 1006083 1315647 1341444 1754196 1900379 2012166 2631294 3800758 4024332 5262588 5701137 7601516 11402274 17103411 22804548 34206822 68413644