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30332355345 = 3251924145541
BaseRepresentation
bin11100001111111100…
…110000001100010001
32220021220200022012100
4130033330300030101
5444110040332340
621533503351013
72122443523605
oct341774601421
986256608170
1030332355345
1111955907576
125a662b2469
132b251b0c76
14167a641505
15bc7dc9830
hex70ff30311

30332355345 has 72 divisors (see below), whose sum is σ = 56843520552. Its totient is φ = 14951692800.

The previous prime is 30332355343. The next prime is 30332355371. The reversal of 30332355345 is 54355323303.

30332355345 is a `hidden beast` number, since 30 + 3 + 32 + 3 + 553 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1402427601 + 28929927744 = 37449^2 + 170088^2 .

It is not a de Polignac number, because 30332355345 - 21 = 30332355343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30332355343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 643275 + ... + 688815.

It is an arithmetic number, because the mean of its divisors is an integer number (789493341).

Almost surely, 230332355345 is an apocalyptic number.

It is an amenable number.

30332355345 is a deficient number, since it is larger than the sum of its proper divisors (26511165207).

30332355345 is a wasteful number, since it uses less digits than its factorization.

30332355345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45631 (or 45609 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 36.

Adding to 30332355345 its reverse (54355323303), we get a palindrome (84687678648).

The spelling of 30332355345 in words is "thirty billion, three hundred thirty-two million, three hundred fifty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 41 45 57 95 123 171 205 285 361 369 615 779 855 1083 1805 1845 2337 3249 3895 5415 7011 11685 14801 16245 35055 44403 45541 74005 133209 136623 222015 227705 409869 666045 683115 865279 1867181 2049345 2595837 4326395 5601543 7787511 9335905 12979185 16440301 16804629 28007715 35476439 38937555 49320903 82201505 84023145 106429317 147962709 177382195 246604515 319287951 532146585 674052341 739813545 1596439755 2022157023 3370261705 6066471069 10110785115 30332355345