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71118324 = 2236293
BaseRepresentation
bin1000011110100…
…10110111110100
311221211012000000
410033102313310
5121201241244
611020151300
71522332024
oct417226764
9157735000
1071118324
1137165282
121b998530
1311970864
149633a84
15639c169
hex43d2df4

71118324 has 84 divisors (see below), whose sum is σ = 193264260. Its totient is φ = 22888656.

The previous prime is 71118287. The next prime is 71118347. The reversal of 71118324 is 42381117.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12320100 + 58798224 = 3510^2 + 7668^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2452342 + ... + 2452370.

It is an arithmetic number, because the mean of its divisors is an integer number (2300765).

Almost surely, 271118324 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 71118324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96632130).

71118324 is an abundant number, since it is smaller than the sum of its proper divisors (122145936).

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

71118324 is an frugal number, since it uses more digits than its factorization.

71118324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 34 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 71118324 is about 8433.1680879726. The cubic root of 71118324 is about 414.3116745637.

The spelling of 71118324 in words is "seventy-one million, one hundred eighteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 841 972 1044 1458 1566 1682 2349 2523 2916 3132 3364 4698 5046 7047 7569 9396 10092 14094 15138 21141 22707 24389 28188 30276 42282 45414 48778 68121 73167 84564 90828 97556 136242 146334 204363 219501 272484 292668 408726 439002 613089 658503 817452 878004 1226178 1317006 1975509 2452356 2634012 3951018 5926527 7902036 11853054 17779581 23706108 35559162 71118324