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3304324434240 = 263251147334873
BaseRepresentation
bin110000000101011001000…
…101011000100101000000
3102200220001001101022202100
4300011121011120211000
5413114224023343430
611005552524150400
7460505145160434
oct60053105304500
912626031338670
103304324434240
1110643a0aaa475
12454497698400
131ac79a55482b
14b5d044c29c4
155ae468b1960
hex30159158940

3304324434240 has 84 divisors (see below), whose sum is σ = 11365499261844. Its totient is φ = 881153181696.

The previous prime is 3304324434209. The next prime is 3304324434287. The reversal of 3304324434240 is 424344234033.

3304324434240 is a `hidden beast` number, since 3 + 30 + 4 + 3 + 244 + 342 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1053316321344 + 2251008112896 = 1026312^2 + 1500336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3304324434195 and 3304324434204.

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, 573664557 + ... + 573670316.

It is an arithmetic number, because the mean of its divisors is an integer number (135303562641).

Almost surely, 23304324434240 is an apocalyptic number.

3304324434240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3304324434240 is an abundant number, since it is smaller than the sum of its proper divisors (8061174827604).

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

3304324434240 is a wasteful number, since it uses less digits than its factorization.

3304324434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147334896 (or 1147334883 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 3304324434240 its reverse (424344234033), we get a palindrome (3728668668273).

The spelling of 3304324434240 in words is "three trillion, three hundred four billion, three hundred twenty-four million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1147334873 2294669746 3442004619 4589339492 5736674365 6884009238 9178678984 10326013857 11473348730 13768018476 17210023095 18357357968 20652027714 22946697460 27536036952 34420046190 36714715936 41304055428 45893394920 51630069285 55072073904 68840092380 73429431872 82608110856 91786789840 103260138570 110144147808 137680184760 165216221712 183573579680 206520277140 220288295616 275360369520 330432443424 367147159360 413040554280 550720739040 660864886848 826081108560 1101441478080 1652162217120 3304324434240