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330132404 = 2272292412
BaseRepresentation
bin10011101011010…
…110101110110100
3212000012110112002
4103223112232310
51134003214104
652431514432
711116036100
oct2353265664
9760173462
10330132404
1115a3953a8
1292688a18
135351b124
1431bb8900
151deb201e
hex13ad6bb4

330132404 has 54 divisors (see below), whose sum is σ = 698126310. Its totient is φ = 136039680.

The previous prime is 330132377. The next prime is 330132421. The reversal of 330132404 is 404231033.

It can be written as a sum of positive squares in 3 ways, for example, as 127012900 + 203119504 = 11270^2 + 14252^2 .

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 17 ways as a sum of consecutive naturals, for example, 1369724 + ... + 1369964.

It is an arithmetic number, because the mean of its divisors is an integer number (12928265).

Almost surely, 2330132404 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 330132404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349063155).

330132404 is an abundant number, since it is smaller than the sum of its proper divisors (367993906).

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

330132404 is a wasteful number, since it uses less digits than its factorization.

330132404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 330132404 is about 18169.5460592718. The cubic root of 330132404 is about 691.1347316209.

Adding to 330132404 its reverse (404231033), we get a palindrome (734363437).

The spelling of 330132404 in words is "three hundred thirty million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 241 406 482 812 964 1421 1687 2842 3374 5684 6748 6989 11809 13978 23618 27956 47236 48923 58081 97846 116162 195692 232324 342461 406567 684922 813134 1369844 1626268 1684349 2845969 3368698 5691938 6737396 11383876 11790443 23580886 47161772 82533101 165066202 330132404