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71640324 = 22327299803
BaseRepresentation
bin1000100010100…
…10010100000100
311222210201001100
410101102110010
5121314442244
611035300100
71526634630
oct421222404
9158721040
1071640324
1137491488
121bbaa630
1311ac4332
14972bdc0
156451b69
hex4452504

71640324 has 72 divisors (see below), whose sum is σ = 214119360. Its totient is φ = 19760832.

The previous prime is 71640323. The next prime is 71640341. The reversal of 71640324 is 42304617.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71640323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2407 + ... + 12209.

It is an arithmetic number, because the mean of its divisors is an integer number (2973880).

Almost surely, 271640324 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 71640324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107059680).

71640324 is an abundant number, since it is smaller than the sum of its proper divisors (142479036).

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

71640324 is a wasteful number, since it uses less digits than its factorization.

71640324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9849 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 71640324 is about 8464.0607275704. The cubic root of 71640324 is about 415.3228706262.

The spelling of 71640324 in words is "seventy-one million, six hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 9803 19606 29409 39212 58818 68621 88227 117636 137242 176454 205863 274484 284287 352908 411726 568574 617589 823452 852861 1137148 1235178 1705722 1990009 2470356 2558583 3411444 3980018 5117166 5970027 7960036 10234332 11940054 17910081 23880108 35820162 71640324