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327071424 = 2632237639
BaseRepresentation
bin10011011111101…
…011011011000000
3211210102221122110
4103133223123000
51132212241144
652242135320
711051030001
oct2337533300
9753387573
10327071424
11158694669
1291651540
13529b8ab4
143161d1a8
151daaa0b9
hex137eb6c0

327071424 has 56 divisors (see below), whose sum is σ = 869370880. Its totient is φ = 108520704.

The previous prime is 327071413. The next prime is 327071429. The reversal of 327071424 is 424170723.

It is a junction number, because it is equal to n+sod(n) for n = 327071391 and 327071400.

It is not an unprimeable number, because it can be changed into a prime (327071429) 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, 38997 + ... + 46635.

It is an arithmetic number, because the mean of its divisors is an integer number (15524480).

Almost surely, 2327071424 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 327071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434685440).

327071424 is an abundant number, since it is smaller than the sum of its proper divisors (542299456).

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

327071424 is a wasteful number, since it uses less digits than its factorization.

327071424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7877 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 327071424 is about 18085.1160903103. The cubic root of 327071424 is about 688.9920338254.

The spelling of 327071424 in words is "three hundred twenty-seven million, seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223 446 669 892 1338 1784 2676 3568 5352 7136 7639 10704 14272 15278 21408 22917 30556 42816 45834 61112 91668 122224 183336 244448 366672 488896 733344 1466688 1703497 3406994 5110491 6813988 10220982 13627976 20441964 27255952 40883928 54511904 81767856 109023808 163535712 327071424