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330423132 = 223132937229
BaseRepresentation
bin10011101100011…
…101101101011100
3212000202020022210
4103230131231130
51134042020012
652442040420
711121356514
oct2354355534
9760666283
10330423132
1115a573876
12927a9110
13535c0560
1431c52844
151e01d23c
hex13b1db5c

330423132 has 48 divisors (see below), whose sum is σ = 833243040. Its totient is φ = 101307648.

The previous prime is 330423131. The next prime is 330423143. The reversal of 330423132 is 231324033.

It is a junction number, because it is equal to n+sod(n) for n = 330423099 and 330423108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330423131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42094 + ... + 49322.

It is an arithmetic number, because the mean of its divisors is an integer number (17359230).

Almost surely, 2330423132 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 330423132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416621520).

330423132 is an abundant number, since it is smaller than the sum of its proper divisors (502819908).

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

330423132 is a wasteful number, since it uses less digits than its factorization.

330423132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 330423132 is about 18177.5447186907. The cubic root of 330423132 is about 691.3375525311.

Adding to 330423132 its reverse (231324033), we get a palindrome (561747165).

Subtracting from 330423132 its reverse (231324033), we obtain a palindrome (99099099).

The spelling of 330423132 in words is "three hundred thirty million, four hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 293 586 879 1172 1758 3516 3809 7229 7618 11427 14458 15236 21687 22854 28916 43374 45708 86748 93977 187954 281931 375908 563862 1127724 2118097 4236194 6354291 8472388 12708582 25417164 27535261 55070522 82605783 110141044 165211566 330423132