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71330544 = 2434232393
BaseRepresentation
bin1000100000001…
…10101011110000
311222012222010000
410100012223300
5121230034134
611024510000
71524204525
oct420065360
9158188100
1071330544
113729a76a
121ba7b300
1311a1632c
14968b14c
1563dee99
hex4406af0

71330544 has 100 divisors (see below), whose sum is σ = 215517456. Its totient is φ = 22733568.

The previous prime is 71330513. The next prime is 71330549. The reversal of 71330544 is 44503317.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (71330549) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28612 + ... + 31004.

Almost surely, 271330544 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 71330544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

71330544 is an abundant number, since it is smaller than the sum of its proper divisors (144186912).

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

71330544 is a wasteful number, since it uses less digits than its factorization.

71330544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 71330544 is about 8445.7411752907. The cubic root of 71330544 is about 414.7233730114.

The spelling of 71330544 in words is "seventy-one million, three hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2393 2484 3312 3726 4786 4968 7179 7452 9572 9936 14358 14904 19144 21537 28716 29808 38288 43074 55039 57432 64611 86148 110078 114864 129222 165117 172296 193833 220156 258444 330234 344592 387666 440312 495351 516888 660468 775332 880624 990702 1033776 1320936 1486053 1550664 1981404 2641872 2972106 3101328 3962808 4458159 5944212 7925616 8916318 11888424 17832636 23776848 35665272 71330544