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330304044 = 223715126041
BaseRepresentation
bin10011101100000…
…000101000101100
3212000112011222010
4103230000220230
51134024212134
652435321220
711120352360
oct2354005054
9760464863
10330304044
1115a4a2354
1292750210
135357b2a5
1431c212a0
151dee7ce9
hex13b00a2c

330304044 has 48 divisors (see below), whose sum is σ = 886678016. Its totient is φ = 93744000.

The previous prime is 330304043. The next prime is 330304057. The reversal of 330304044 is 440403033.

330304044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3303040442 = 218201522965507872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 330304044.

It is not an unprimeable number, because it can be changed into a prime (330304043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337 + ... + 25704.

Almost surely, 2330304044 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 330304044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443339008).

330304044 is an abundant number, since it is smaller than the sum of its proper divisors (556373972).

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

330304044 is a wasteful number, since it uses less digits than its factorization.

330304044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26206 (or 26204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 330304044 is about 18174.2687335694. The cubic root of 330304044 is about 691.2544874233.

Adding to 330304044 its reverse (440403033), we get a palindrome (770707077).

The spelling of 330304044 in words is "three hundred thirty million, three hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 3171 4228 6342 12684 26041 52082 78123 104164 156246 182287 312492 364574 546861 729148 1093722 2187444 3932191 7864382 11796573 15728764 23593146 27525337 47186292 55050674 82576011 110101348 165152022 330304044