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330224334 = 231129374663
BaseRepresentation
bin10011101011101…
…101001011001110
3212000101010121220
4103223231023032
51134014134314
652433504210
711116601106
oct2353551316
9760333556
10330224334
1115a448480
1292712066
1353550c1b
1431c00206
151dece3a9
hex13aed2ce

330224334 has 64 divisors (see below), whose sum is σ = 765642240. Its totient is φ = 93985920.

The previous prime is 330224311. The next prime is 330224339. The reversal of 330224334 is 433422033.

It is a super-2 number, since 2×3302243342 = 218096221531487112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330224339) 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 31 ways as a sum of consecutive naturals, for example, 68487 + ... + 73149.

It is an arithmetic number, because the mean of its divisors is an integer number (11963160).

Almost surely, 2330224334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330224334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382821120).

330224334 is an abundant number, since it is smaller than the sum of its proper divisors (435417906).

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

330224334 is a wasteful number, since it uses less digits than its factorization.

330224334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745.

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 330224334 is about 18172.0756657020. The cubic root of 330224334 is about 691.1988777216.

Adding to 330224334 its reverse (433422033), we get a palindrome (763646367).

The spelling of 330224334 in words is "three hundred thirty million, two hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 37 58 66 74 87 111 174 222 319 407 638 814 957 1073 1221 1914 2146 2442 3219 4663 6438 9326 11803 13989 23606 27978 35409 51293 70818 102586 135227 153879 172531 270454 307758 345062 405681 517593 811362 1035186 1487497 1897841 2974994 3795682 4462491 5003399 5693523 8924982 10006798 11387046 15010197 30020394 55037389 110074778 165112167 330224334