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330230032032 = 25311330441559
BaseRepresentation
bin1001100111000110011…
…11100110011010100000
31011120101022001202202010
410303203033212122200
520402302342011112
6411412223352520
732600256646455
oct4634317463240
91146338052663
10330230032032
1111806027584a
1254001452740
13251a9a64724
1411da9d4982c
1588cb5c563c
hex4ce33e66a0

330230032032 has 48 divisors (see below), whose sum is σ = 874525135680. Its totient is φ = 109102543872.

The previous prime is 330230032031. The next prime is 330230032061. The reversal of 330230032032 is 230230032033.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (330230032031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15209932 + ... + 15231627.

It is an arithmetic number, because the mean of its divisors is an integer number (18219273660).

Almost surely, 2330230032032 is an apocalyptic number.

330230032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330230032032 is an abundant number, since it is smaller than the sum of its proper divisors (544295103648).

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

330230032032 is a wasteful number, since it uses less digits than its factorization.

330230032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30441685 (or 30441677 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 330230032032 its reverse (230230032033), we get a palindrome (560460064065).

Subtracting from 330230032032 its reverse (230230032033), we obtain a palindrome (99999999999).

The spelling of 330230032032 in words is "three hundred thirty billion, two hundred thirty million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 30441559 60883118 91324677 121766236 182649354 243532472 365298708 487064944 730597416 974129888 1461194832 2922389664 3439896167 6879792334 10319688501 13759584668 20639377002 27519169336 41278754004 55038338672 82557508008 110076677344 165115016016 330230032032