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305354084 = 22725572797
BaseRepresentation
bin10010001100110…
…101010101100100
3210021120121001112
4102030311111210
51111132312314
650144444152
710365316100
oct2214652544
9707517045
10305354084
11147401052
1286319658
134b353ab9
142c7a8900
151bc1a43e
hex12335564

305354084 has 36 divisors (see below), whose sum is σ = 622952316. Its totient is φ = 130584384.

The previous prime is 305354053. The next prime is 305354089. The reversal of 305354084 is 480453503.

It can be written as a sum of positive squares in 2 ways, for example, as 117115684 + 188238400 = 10822^2 + 13720^2 .

It is a super-2 number, since 2×3053540842 = 186482233230958112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305354084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305354089) 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 11 ways as a sum of consecutive naturals, for example, 107774 + ... + 110570.

It is an arithmetic number, because the mean of its divisors is an integer number (17304231).

Almost surely, 2305354084 is an apocalyptic number.

It is an amenable number.

305354084 is an abundant number, since it is smaller than the sum of its proper divisors (317598232).

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

305354084 is a wasteful number, since it uses less digits than its factorization.

305354084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 305354084 is about 17474.3836515054. The cubic root of 305354084 is about 673.3919354500.

The spelling of 305354084 in words is "three hundred five million, three hundred fifty-four thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 557 1114 2228 2797 3899 5594 7798 11188 15596 19579 27293 39158 54586 78316 109172 137053 274106 548212 1557929 3115858 6231716 10905503 21811006 43622012 76338521 152677042 305354084