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71340288 = 283194889
BaseRepresentation
bin1000100000010…
…01000100000000
311222020110110220
410100021010000
5121230342123
611025023040
71524245115
oct420110400
9158213426
1071340288
11372a7018
121ba84a80
1311a1a8b6
14969090c
1563e2ce3
hex4409100

71340288 has 72 divisors (see below), whose sum is σ = 199903200. Its totient is φ = 22523904.

The previous prime is 71340281. The next prime is 71340317. The reversal of 71340288 is 88204317.

It is not an unprimeable number, because it can be changed into a prime (71340281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12148 + ... + 17036.

Almost surely, 271340288 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 71340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99951600).

71340288 is an abundant number, since it is smaller than the sum of its proper divisors (128562912).

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

71340288 is a wasteful number, since it uses less digits than its factorization.

71340288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 71340288 is about 8446.3180143776. The cubic root of 71340288 is about 414.7422563692.

The spelling of 71340288 in words is "seventy-one million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 4889 7296 9778 14592 14667 19556 29334 39112 58668 78224 92891 117336 156448 185782 234672 278673 312896 371564 469344 557346 625792 743128 938688 1114692 1251584 1486256 1877376 2229384 2972512 3754752 4458768 5945024 8917536 11890048 17835072 23780096 35670144 71340288