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71340696 = 23337291627
BaseRepresentation
bin1000100000010…
…01001010011000
311222020111001000
410100021022120
5121230400241
611025025000
71524246240
oct420111230
9158214030
1071340696
11372a7359
121ba85160
1311a1ab3b
149690b20
1563e2eb6
hex4409298

71340696 has 128 divisors (see below), whose sum is σ = 234432000. Its totient is φ = 19668096.

The previous prime is 71340673. The next prime is 71340701. The reversal of 71340696 is 69604317.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71340696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43035 + ... + 44661.

It is an arithmetic number, because the mean of its divisors is an integer number (1831500).

Almost surely, 271340696 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 71340696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117216000).

71340696 is an abundant number, since it is smaller than the sum of its proper divisors (163091304).

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

71340696 is a wasteful number, since it uses less digits than its factorization.

71340696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 71340696 is about 8446.3421668791. The cubic root of 71340696 is about 414.7430470142.

It can be divided in two parts, 7 and 1340696, that added together give a triangular number (1340703 = T1637).

The spelling of 71340696 in words is "seventy-one million, three hundred forty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1627 1827 2088 2436 3132 3254 3654 4872 4881 5481 6264 6508 7308 9762 10962 11389 13016 14616 14643 19524 21924 22778 29286 34167 39048 43848 43929 45556 47183 58572 68334 87858 91112 94366 102501 117144 136668 141549 175716 188732 205002 273336 283098 307503 330281 351432 377464 410004 424647 566196 615006 660562 820008 849294 990843 1132392 1230012 1273941 1321124 1698588 1981686 2460024 2547882 2642248 2972529 3397176 3963372 5095764 5945058 7926744 8917587 10191528 11890116 17835174 23780232 35670348 71340696