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328902 = 23741191
BaseRepresentation
bin1010000010011000110
3121201011120
41100103012
541011102
611014410
72536620
oct1202306
9551146
10328902
11205122
1213a406
13b6922
1487c10
15676bc
hex504c6

328902 has 32 divisors (see below), whose sum is σ = 774144. Its totient is φ = 91200.

The previous prime is 328901. The next prime is 328919. The reversal of 328902 is 209823.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328902.

It is not an unprimeable number, because it can be changed into a prime (328901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627 + ... + 1817.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2328902 is an apocalyptic number.

It is a pronic number, being equal to 573×574.

It is a practical number, because each smaller number is the sum of distinct divisors of 328902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

328902 is an abundant number, since it is smaller than the sum of its proper divisors (445242).

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

328902 is a wasteful number, since it uses less digits than its factorization.

328902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 328902 is about 573.4997820401. The cubic root of 328902 is about 69.0275042629.

The spelling of 328902 in words is "three hundred twenty-eight thousand, nine hundred two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 191 246 287 382 573 574 861 1146 1337 1722 2674 4011 7831 8022 15662 23493 46986 54817 109634 164451 328902