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2330104430304 = 253271155805769
BaseRepresentation
bin100001111010000101000…
…010111111111011100000
322020202101222120101112100
4201322011002333323200
5301134023213232204
64542234000330400
7330226105602660
oct41720502777340
98222358511470
102330104430304
11819212229152
1231770b313a00
1313b960290241
1480ac5c621a0
1540928542a39
hex21e850bfee0

2330104430304 has 72 divisors (see below), whose sum is σ = 7572839405040. Its totient is φ = 665744122368.

The previous prime is 2330104430273. The next prime is 2330104430317. The reversal of 2330104430304 is 4030344010332.

2330104430304 is a `hidden beast` number, since 23 + 301 + 0 + 4 + 4 + 30 + 304 = 666.

2330104430304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23301044303042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577900869 + ... + 577904900.

It is an arithmetic number, because the mean of its divisors is an integer number (105178325070).

Almost surely, 22330104430304 is an apocalyptic number.

2330104430304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2330104430304 is an abundant number, since it is smaller than the sum of its proper divisors (5242734974736).

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

2330104430304 is a wasteful number, since it uses less digits than its factorization.

2330104430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155805792 (or 1155805781 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2330104430304 its reverse (4030344010332), we get a palindrome (6360448440636).

The spelling of 2330104430304 in words is "two trillion, three hundred thirty billion, one hundred four million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1155805769 2311611538 3467417307 4623223076 6934834614 8090640383 9246446152 10402251921 13869669228 16181280766 18492892304 20804503842 24271921149 27739338456 32362561532 36985784608 41609007684 48543842298 55478676912 64725123064 72815763447 83218015368 97087684596 110957353824 129450246128 145631526894 166436030736 194175369192 258900492256 291263053788 332872061472 388350738384 582526107576 776701476768 1165052215152 2330104430304