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305012344 = 237131273299
BaseRepresentation
bin10010001011100…
…001111001111000
3210020221020021111
4102023201321320
51111040343334
650133250104
710362363550
oct2213417170
9706836244
10305012344
1114719831a
1286193934
134b2643a0
142c71a160
151bb9e064
hex122e1e78

305012344 has 64 divisors (see below), whose sum is σ = 709632000. Its totient is φ = 119677824.

The previous prime is 305012333. The next prime is 305012363. The reversal of 305012344 is 443210503.

305012344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90807 + ... + 94105.

It is an arithmetic number, because the mean of its divisors is an integer number (11088000).

Almost surely, 2305012344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305012344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354816000).

305012344 is an abundant number, since it is smaller than the sum of its proper divisors (404619656).

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

305012344 is a wasteful number, since it uses less digits than its factorization.

305012344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 305012344 is about 17464.6026006892. The cubic root of 305012344 is about 673.1406306268.

Adding to 305012344 its reverse (443210503), we get a palindrome (748222847).

The spelling of 305012344 in words is "three hundred five million, twelve thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 127 182 254 364 508 728 889 1016 1651 1778 3299 3302 3556 6598 6604 7112 11557 13196 13208 23093 23114 26392 42887 46186 46228 85774 92372 92456 171548 184744 300209 343096 418973 600418 837946 1200836 1675892 2401672 2932811 3351784 5446649 5865622 10893298 11731244 21786596 23462488 38126543 43573192 76253086 152506172 305012344