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330252 = 223132973
BaseRepresentation
bin1010000101000001100
3121210000120
41100220030
541032002
611024540
72543556
oct1205014
9553016
10330252
1120613a
1213b150
13b7420
14884d6
1567cbc
hex50a0c

330252 has 48 divisors (see below), whose sum is σ = 870240. Its totient is φ = 96768.

The previous prime is 330247. The next prime is 330271. The reversal of 330252 is 252033.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4488 + ... + 4560.

It is an arithmetic number, because the mean of its divisors is an integer number (18130).

2330252 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 330252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435120).

330252 is an abundant number, since it is smaller than the sum of its proper divisors (539988).

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

330252 is a wasteful number, since it uses less digits than its factorization.

330252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 330252 is about 574.6755606427. The cubic root of 330252 is about 69.1218179927.

Adding to 330252 its reverse (252033), we get a palindrome (582285).

The spelling of 330252 in words is "three hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 73 78 87 116 146 156 174 219 292 348 377 438 754 876 949 1131 1508 1898 2117 2262 2847 3796 4234 4524 5694 6351 8468 11388 12702 25404 27521 55042 82563 110084 165126 330252