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305000028 = 223237593881
BaseRepresentation
bin10010001011011…
…110111001011100
3210020220121101100
4102023132321130
51111040000103
650133113100
710362312624
oct2213367134
9706817340
10305000028
1114718a043
1286188790
134b25b8b8
142c715884
151bb9a5a3
hex122dee5c

305000028 has 72 divisors (see below), whose sum is σ = 805437360. Its totient is φ = 97217280.

The previous prime is 304999993. The next prime is 305000053. The reversal of 305000028 is 820000503.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76648 + ... + 80528.

It is an arithmetic number, because the mean of its divisors is an integer number (11186630).

Almost surely, 2305000028 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 305000028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402718680).

305000028 is an abundant number, since it is smaller than the sum of its proper divisors (500437332).

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

305000028 is a wasteful number, since it uses less digits than its factorization.

305000028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 305000028 is about 17464.2499982106. The cubic root of 305000028 is about 673.1315703251.

The spelling of 305000028 in words is "three hundred five million, twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 111 118 148 177 222 236 333 354 444 531 666 708 1062 1332 2124 2183 3881 4366 6549 7762 8732 11643 13098 15524 19647 23286 26196 34929 39294 46572 69858 78588 139716 143597 228979 287194 430791 457958 574388 686937 861582 915916 1292373 1373874 1723164 2060811 2584746 2747748 4121622 5169492 8243244 8472223 16944446 25416669 33888892 50833338 76250007 101666676 152500014 305000028