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328852832 = 2571131103
BaseRepresentation
bin10011100110011…
…110010101100000
3211220210110021112
4103212132111200
51133141242312
652344242452
711102126420
oct2346362540
9756713245
10328852832
111596a1000
1292170428
1353190899
1431964480
151dd0cd22
hex1399e560

328852832 has 96 divisors (see below), whose sum is σ = 814593024. Its totient is φ = 128008320.

The previous prime is 328852829. The next prime is 328852859. The reversal of 328852832 is 238258823.

It is a super-2 number, since 2×3288528322 = 216288370228840448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 328852832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297593 + ... + 298695.

It is an arithmetic number, because the mean of its divisors is an integer number (8485344).

Almost surely, 2328852832 is an apocalyptic number.

328852832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328852832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407296512).

328852832 is an abundant number, since it is smaller than the sum of its proper divisors (485740192).

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

328852832 is a wasteful number, since it uses less digits than its factorization.

328852832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1123 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 328852832 is about 18134.2998762015. The cubic root of 328852832 is about 690.2406442016.

The spelling of 328852832 in words is "three hundred twenty-eight million, eight hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1103 1232 1331 1694 1936 2206 2464 2662 3388 3872 4412 5324 6776 7721 8824 9317 10648 12133 13552 15442 17648 18634 21296 24266 27104 30884 35296 37268 42592 48532 61768 74536 84931 97064 123536 133463 149072 169862 194128 247072 266926 298144 339724 388256 533852 679448 934241 1067704 1358896 1468093 1868482 2135408 2717792 2936186 3736964 4270816 5872372 7473928 10276651 11744744 14947856 20553302 23489488 29895712 41106604 46978976 82213208 164426416 328852832