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305804430 = 23351959611
BaseRepresentation
bin10010001110100…
…011010010001110
3210022102110211000
4102032203102032
51111241220210
650202241130
710402203051
oct2216432216
9708373730
10305804430
11147689438
12864b61a6
134b480a89
142c884a98
151bca8ac0
hex123a348e

305804430 has 64 divisors (see below), whose sum is σ = 858412800. Its totient is φ = 77254560.

The previous prime is 305804417. The next prime is 305804437. The reversal of 305804430 is 34408503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 305804394 and 305804403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305804437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24676 + ... + 34935.

It is an arithmetic number, because the mean of its divisors is an integer number (13412700).

Almost surely, 2305804430 is an apocalyptic number.

305804430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

305804430 is an abundant number, since it is smaller than the sum of its proper divisors (552608370).

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

305804430 is a wasteful number, since it uses less digits than its factorization.

305804430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59646 (or 59640 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 305804430 is about 17487.2647947013. The cubic root of 305804430 is about 673.7228195143.

The spelling of 305804430 in words is "three hundred five million, eight hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 59611 119222 178833 298055 357666 536499 596110 894165 1072998 1132609 1609497 1788330 2265218 2682495 3218994 3397827 5364990 5663045 6795654 8047485 10193481 11326090 16094970 16989135 20386962 30580443 33978270 50967405 61160886 101934810 152902215 305804430