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305360442 = 2349292029
BaseRepresentation
bin10010001100110…
…110111000111010
3210021120220210000
4102030312320322
51111133013232
650144533430
710365343452
oct2214667072
9707526700
10305360442
11147405902
1286321276
134b35696a
142c7aad62
151bc1c27c
hex12336e3a

305360442 has 40 divisors (see below), whose sum is σ = 685307700. Its totient is φ = 101627136.

The previous prime is 305360437. The next prime is 305360453. The reversal of 305360442 is 244063503.

305360442 is a `hidden beast` number, since 3 + 0 + 53 + 604 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 305165961 + 194481 = 17469^2 + 441^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149484 + ... + 151512.

Almost surely, 2305360442 is an apocalyptic number.

305360442 is an abundant number, since it is smaller than the sum of its proper divisors (379947258).

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

305360442 is a wasteful number, since it uses less digits than its factorization.

305360442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 305360442 is about 17474.5655739993. The cubic root of 305360442 is about 673.3966091457.

The spelling of 305360442 in words is "three hundred five million, three hundred sixty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 929 1858 2029 2787 4058 5574 6087 8361 12174 16722 18261 25083 36522 50166 54783 75249 109566 150498 164349 328698 1884941 3769882 5654823 11309646 16964469 33928938 50893407 101786814 152680221 305360442