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330421824 = 263229131151
BaseRepresentation
bin10011101100011…
…101011001000000
3212000202011112100
4103230131121000
51134041444244
652442030400
711121352635
oct2354353100
9760664470
10330421824
1115a572897
12927a8400
13535bca95
1431c5218c
151e01cb69
hex13b1d640

330421824 has 168 divisors, whose sum is σ = 993769920. Its totient is φ = 104832000.

The previous prime is 330421813. The next prime is 330421873. The reversal of 330421824 is 428124033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2188149 + ... + 2188299.

Almost surely, 2330421824 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 330421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496884960).

330421824 is an abundant number, since it is smaller than the sum of its proper divisors (663348096).

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

330421824 is a wasteful number, since it uses less digits than its factorization.

330421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 330421824 is about 18177.5087401987. The cubic root of 330421824 is about 691.3366402961.

Adding to 330421824 its reverse (428124033), we get a palindrome (758545857).

The spelling of 330421824 in words is "three hundred thirty million, four hundred twenty-one thousand, eight hundred twenty-four".