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8180328 = 23313157167
BaseRepresentation
bin11111001101001001101000
3120101121022010
4133031021220
54043232303
6451155520
7126350232
oct37151150
916347263
108180328
114688002
1228a5ba0
131905540
14112d252
15ab8c03
hex7cd268

8180328 has 64 divisors (see below), whose sum is σ = 22296960. Its totient is φ = 2486016.

The previous prime is 8180323. The next prime is 8180351. The reversal of 8180328 is 8230818.

8180328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8180295 and 8180304.

It is not an unprimeable number, because it can be changed into a prime (8180323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48901 + ... + 49067.

It is an arithmetic number, because the mean of its divisors is an integer number (348390).

Almost surely, 28180328 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 8180328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148480).

8180328 is an abundant number, since it is smaller than the sum of its proper divisors (14116632).

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

8180328 is a wasteful number, since it uses less digits than its factorization.

8180328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8180328 is about 2860.1272698955. The cubic root of 8180328 is about 201.4915816009.

The spelling of 8180328 in words is "eight million, one hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 157 167 312 314 334 471 501 628 668 942 1002 1256 1336 1884 2004 2041 2171 3768 4008 4082 4342 6123 6513 8164 8684 12246 13026 16328 17368 24492 26052 26219 48984 52104 52438 78657 104876 157314 209752 314628 340847 629256 681694 1022541 1363388 2045082 2726776 4090164 8180328