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329130 = 23352353
BaseRepresentation
bin1010000010110101010
3121201111000
41100112222
541013010
611015430
72540364
oct1202652
9551430
10329130
1120530a
1213a576
13b6a69
1487d34
15677c0
hex505aa

329130 has 64 divisors (see below), whose sum is σ = 933120. Its totient is φ = 82368.

The previous prime is 329123. The next prime is 329143. The reversal of 329130 is 31923.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6184 + ... + 6236.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2329130 is an apocalyptic number.

329130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 329130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560).

329130 is an abundant number, since it is smaller than the sum of its proper divisors (603990).

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

329130 is a wasteful number, since it uses less digits than its factorization.

329130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 329130 is about 573.6985271029. The cubic root of 329130 is about 69.0434508931.

It can be divided in two parts, 3291 and 30, that added together give a triangular number (3321 = T81).

The spelling of 329130 in words is "three hundred twenty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 53 54 69 90 106 115 135 138 159 207 230 265 270 318 345 414 477 530 621 690 795 954 1035 1219 1242 1431 1590 2070 2385 2438 2862 3105 3657 4770 6095 6210 7155 7314 10971 12190 14310 18285 21942 32913 36570 54855 65826 109710 164565 329130