Search a number
-
+
180339328 = 2713108377
BaseRepresentation
bin10101011111111…
…00001010000000
3110120100012001101
422233330022000
5332131324303
625521144144
74316600431
oct1257741200
9416305041
10180339328
1192884674
125048b054
132b492480
1419d45488
1510c73d1d
hexabfc280

180339328 has 32 divisors (see below), whose sum is σ = 386909460. Its totient is φ = 83232768.

The previous prime is 180339323. The next prime is 180339331. The reversal of 180339328 is 823933081.

It can be written as a sum of positive squares in 2 ways, for example, as 132894784 + 47444544 = 11528^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (180339323) 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 3 ways as a sum of consecutive naturals, for example, 52525 + ... + 55852.

Almost surely, 2180339328 is an apocalyptic number.

It is an amenable number.

180339328 is an abundant number, since it is smaller than the sum of its proper divisors (206570132).

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

180339328 is a wasteful number, since it uses less digits than its factorization.

180339328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108404 (or 108392 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 180339328 is about 13429.0479185980. The cubic root of 180339328 is about 564.9761944704.

The spelling of 180339328 in words is "one hundred eighty million, three hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 108377 216754 433508 867016 1408901 1734032 2817802 3468064 5635604 6936128 11271208 13872256 22542416 45084832 90169664 180339328