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328170528 = 253576029
BaseRepresentation
bin10011100011110…
…111110000100000
3211212111210100000
4103203313300200
51133002424103
652321500000
711063255250
oct2343676040
9755453300
10328170528
11159275414
1291aa1600
1352cb215a
1431827960
151dc25aa3
hex138f7c20

328170528 has 144 divisors (see below), whose sum is σ = 1106239680. Its totient is φ = 93747456.

The previous prime is 328170473. The next prime is 328170529. The reversal of 328170528 is 825071823.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 328170492 and 328170501.

It is not an unprimeable number, because it can be changed into a prime (328170529) 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, 51418 + ... + 57446.

It is an arithmetic number, because the mean of its divisors is an integer number (7682220).

Almost surely, 2328170528 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 328170528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553119840).

328170528 is an abundant number, since it is smaller than the sum of its proper divisors (778069152).

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

328170528 is an equidigital number, since it uses as much as digits as its factorization.

328170528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6061 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 328170528 is about 18115.4775813391. The cubic root of 328170528 is about 689.7629431406.

The spelling of 328170528 in words is "three hundred twenty-eight million, one hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6029 6048 6804 7776 9072 12058 13608 18087 18144 24116 27216 36174 42203 48232 54261 54432 72348 84406 96464 108522 126609 144696 162783 168812 192928 217044 253218 289392 325566 337624 379827 434088 488349 506436 578784 651132 675248 759654 868176 976698 1012872 1139481 1302264 1350496 1465047 1519308 1736352 1953396 2025744 2278962 2604528 2930094 3038616 3418443 3906792 4051488 4557924 5209056 5860188 6077232 6836886 7813584 9115848 10255329 11720376 12154464 13673772 15627168 18231696 20510658 23440752 27347544 36463392 41021316 46881504 54695088 82042632 109390176 164085264 328170528