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328528224 = 253614083
BaseRepresentation
bin10011100101001…
…111000101100000
3211220011222000000
4103211033011200
51133100400344
652333300000
711066305143
oct2345170540
9756158000
10328528224
1115949a132
1292034600
13530a8bcb
14318bc05a
151dc96a69
hex1394f160

328528224 has 84 divisors (see below), whose sum is σ = 969810156. Its totient is φ = 109501632.

The previous prime is 328528223. The next prime is 328528229. The reversal of 328528224 is 422825823.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328528223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 16287 + ... + 30369.

It is an arithmetic number, because the mean of its divisors is an integer number (11545359).

Almost surely, 2328528224 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 328528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484905078).

328528224 is an abundant number, since it is smaller than the sum of its proper divisors (641281932).

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

328528224 is an equidigital number, since it uses as much as digits as its factorization.

328528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111 (or 14088 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 328528224 is about 18125.3475552884. The cubic root of 328528224 is about 690.0134590947.

The spelling of 328528224 in words is "three hundred twenty-eight million, five hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 14083 23328 28166 42249 56332 84498 112664 126747 168996 225328 253494 337992 380241 450656 506988 675984 760482 1013976 1140723 1351968 1520964 2027952 2281446 3041928 3422169 4055904 4562892 6083856 6844338 9125784 10266507 12167712 13688676 18251568 20533014 27377352 36503136 41066028 54754704 82132056 109509408 164264112 328528224