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305617940 = 22515280897
BaseRepresentation
bin10010001101110…
…101110000010100
3210022001222222222
4102031311300110
51111214233230
650154241512
710400465255
oct2215656024
9708058888
10305617940
11147571311
1286426298
134b416c24
142c836b2c
151bc6d6e5
hex12375c14

305617940 has 12 divisors (see below), whose sum is σ = 641797716. Its totient is φ = 122247168.

The previous prime is 305617937. The next prime is 305617943. The reversal of 305617940 is 49716503.

It is an interprime number because it is at equal distance from previous prime (305617937) and next prime (305617943).

It can be written as a sum of positive squares in 2 ways, for example, as 211644304 + 93973636 = 14548^2 + 9694^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 305617940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305617943) 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 3 ways as a sum of consecutive naturals, for example, 7640429 + ... + 7640468.

It is an arithmetic number, because the mean of its divisors is an integer number (53483143).

Almost surely, 2305617940 is an apocalyptic number.

It is an amenable number.

305617940 is an abundant number, since it is smaller than the sum of its proper divisors (336179776).

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

305617940 is a wasteful number, since it uses less digits than its factorization.

305617940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280906 (or 15280904 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 305617940 is about 17481.9318154488. The cubic root of 305617940 is about 673.5858385930.

The spelling of 305617940 in words is "three hundred five million, six hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 15280897 30561794 61123588 76404485 152808970 305617940