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330001332 = 223234432699
BaseRepresentation
bin10011101010110…
…110101110110100
3211222221210201120
4103222312232310
51133440020312
652425023540
711114652003
oct2352665664
9758853646
10330001332
1115a305981
1292624bb0
13534a357b
1431b82c3a
151de8828c
hex13ab6bb4

330001332 has 48 divisors (see below), whose sum is σ = 805593600. Its totient is φ = 104941408.

The previous prime is 330001319. The next prime is 330001349. The reversal of 330001332 is 233100033.

It is a congruent number.

It is an unprimeable number.

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, 120919 + ... + 123617.

It is an arithmetic number, because the mean of its divisors is an integer number (16783200).

Almost surely, 2330001332 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 330001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402796800).

330001332 is an abundant number, since it is smaller than the sum of its proper divisors (475592268).

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

330001332 is a wasteful number, since it uses less digits than its factorization.

330001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 330001332 is about 18165.9387866413. The cubic root of 330001332 is about 691.0432527659.

Adding to 330001332 its reverse (233100033), we get a palindrome (563101365).

The spelling of 330001332 in words is "three hundred thirty million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 443 886 1329 1772 2658 2699 5316 5398 8097 10189 10796 16194 20378 30567 32388 40756 61134 62077 122268 124154 186231 248308 372462 744924 1195657 2391314 3586971 4782628 7173942 14347884 27500111 55000222 82500333 110000444 165000666 330001332