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330111232 = 2811210657
BaseRepresentation
bin10011101011010…
…001100100000000
3212000011101110221
4103223101210000
51134002024412
652431232424
711115620263
oct2353214400
9760141427
10330111232
1115a380500
1292678714
13535115b9
1431bb0cda
151deaab07
hex13ad1900

330111232 has 54 divisors (see below), whose sum is σ = 724349654. Its totient is φ = 150036480.

The previous prime is 330111209. The next prime is 330111241. The reversal of 330111232 is 232111033.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 126877696 = 14256^2 + 11264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 25648 + ... + 36304.

Almost surely, 2330111232 is an apocalyptic number.

330111232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362174827).

330111232 is an abundant number, since it is smaller than the sum of its proper divisors (394238422).

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

330111232 is a wasteful number, since it uses less digits than its factorization.

330111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 330111232 is about 18168.9634266790. The cubic root of 330111232 is about 691.1199567233.

Adding to 330111232 its reverse (232111033), we get a palindrome (562222265).

It can be divided in two parts, 33011 and 1232, that added together give a palindrome (34243).

The spelling of 330111232 in words is "three hundred thirty million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 10657 15488 21314 30976 42628 85256 117227 170512 234454 341024 468908 682048 937816 1289497 1364096 1875632 2578994 2728192 3751264 5157988 7502528 10315976 15005056 20631952 30010112 41263904 82527808 165055616 330111232