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180400328 = 23174132353
BaseRepresentation
bin10101100000010…
…11000011001000
3110120110021201122
422300023003020
5332140302303
625522334412
74320243323
oct1260130310
9416407648
10180400328
1192916489
12504ba408
132b4b4174
1419d5d7ba
1510c86e38
hexac0b0c8

180400328 has 32 divisors (see below), whose sum is σ = 366894360. Its totient is φ = 82821120.

The previous prime is 180400327. The next prime is 180400343. The reversal of 180400328 is 823004081.

It can be written as a sum of positive squares in 4 ways, for example, as 163277284 + 17123044 = 12778^2 + 4138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 180400297 and 180400306.

It is not an unprimeable number, because it can be changed into a prime (180400321) 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, 10601 + ... + 21752.

Almost surely, 2180400328 is an apocalyptic number.

It is an amenable number.

180400328 is an abundant number, since it is smaller than the sum of its proper divisors (186494032).

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

180400328 is a wasteful number, since it uses less digits than its factorization.

180400328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32417 (or 32413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 180400328 is about 13431.3189225779. The cubic root of 180400328 is about 565.0398885875.

The spelling of 180400328 in words is "one hundred eighty million, four hundred thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 328 697 1394 2788 5576 32353 64706 129412 258824 550001 1100002 1326473 2200004 2652946 4400008 5305892 10611784 22550041 45100082 90200164 180400328