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71346912 = 2537138167
BaseRepresentation
bin1000100000010…
…10101011100000
311222020210120020
410100022223200
5121231100122
611025113440
71524303330
oct420125340
9158223506
1071346912
1137300a9a
121ba88880
1311a20910
1496930c0
1563e4c5c
hex440aae0

71346912 has 96 divisors (see below), whose sum is σ = 230533632. Its totient is φ = 18814464.

The previous prime is 71346887. The next prime is 71346917. The reversal of 71346912 is 21964317.

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 (71346917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4653 + ... + 12819.

It is an arithmetic number, because the mean of its divisors is an integer number (2401392).

Almost surely, 271346912 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 71346912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115266816).

71346912 is an abundant number, since it is smaller than the sum of its proper divisors (159186720).

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

71346912 is a wasteful number, since it uses less digits than its factorization.

71346912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8200 (or 8192 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 71346912 is about 8446.7101288016. The cubic root of 71346912 is about 414.7550923499.

The spelling of 71346912 in words is "seventy-one million, three hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8167 8736 16334 24501 32668 49002 57169 65336 98004 106171 114338 130672 171507 196008 212342 228676 261344 318513 343014 392016 424684 457352 637026 686028 743197 784032 849368 914704 1274052 1372056 1486394 1698736 1829408 2229591 2548104 2744112 2972788 3397472 4459182 5096208 5488224 5945576 8918364 10192416 11891152 17836728 23782304 35673456 71346912