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67068288 = 273278317
BaseRepresentation
bin1111111111011…
…0000110000000
311200012102101200
43333312012000
5114132141123
610353301200
71443033240
oct377660600
9150172350
1067068288
1134949441
121a564800
1310b832a1
148c9bb20
155d4c143
hex3ff6180

67068288 has 96 divisors (see below), whose sum is σ = 220593360. Its totient is φ = 19160064.

The previous prime is 67068277. The next prime is 67068289. The reversal of 67068288 is 88286076.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67068289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3906 + ... + 12222.

Almost surely, 267068288 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 67068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110296680).

67068288 is an abundant number, since it is smaller than the sum of its proper divisors (153525072).

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

67068288 is a wasteful number, since it uses less digits than its factorization.

67068288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 67068288 is about 8189.5230630361. The cubic root of 67068288 is about 406.2927507516.

The spelling of 67068288 in words is "sixty-seven million, sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 8317 16634 24951 33268 49902 58219 66536 74853 99804 116438 133072 149706 174657 199608 232876 266144 299412 349314 399216 465752 523971 532288 598824 698628 798432 931504 1047942 1064576 1197648 1397256 1596864 1863008 2095884 2395296 2794512 3193728 3726016 4191768 4790592 5589024 7452032 8383536 9581184 11178048 16767072 22356096 33534144 67068288