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71214336 = 283310303
BaseRepresentation
bin1000011111010…
…10010100000000
311222000001201000
410033222110000
5121212324321
611022212000
71523211654
oct417522400
9158001630
1071214336
1137220426
121ba24000
13119a547b
14965aa64
1563ba826
hex43ea500

71214336 has 72 divisors (see below), whose sum is σ = 210613760. Its totient is φ = 23735808.

The previous prime is 71214331. The next prime is 71214359. The reversal of 71214336 is 63341217.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71214331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1761 + ... + 12063.

Almost surely, 271214336 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 71214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105306880).

71214336 is an abundant number, since it is smaller than the sum of its proper divisors (139399424).

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

71214336 is a wasteful number, since it uses less digits than its factorization.

71214336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 10308 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 71214336 is about 8438.8586906050. The cubic root of 71214336 is about 414.4980353718.

The spelling of 71214336 in words is "seventy-one million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 10303 20606 30909 41212 61818 82424 92727 123636 164848 185454 247272 278181 329696 370908 494544 556362 659392 741816 989088 1112724 1318784 1483632 1978176 2225448 2637568 2967264 3956352 4450896 5934528 7912704 8901792 11869056 17803584 23738112 35607168 71214336