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306054220 = 225431672131
BaseRepresentation
bin10010001111100…
…000010001001100
3210022220011110111
4102033200101030
51111322213340
650211445404
710404263233
oct2217402114
9708804414
10306054220
1114783a07a
12865b6864
134b53a694
142c90bb1a
151bd07aea
hex123e044c

306054220 has 48 divisors (see below), whose sum is σ = 661909248. Its totient is φ = 118802880.

The previous prime is 306054187. The next prime is 306054251. The reversal of 306054220 is 22450603.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 306054191 and 306054200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142555 + ... + 144685.

It is an arithmetic number, because the mean of its divisors is an integer number (13789776).

Almost surely, 2306054220 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 306054220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330954624).

306054220 is an abundant number, since it is smaller than the sum of its proper divisors (355855028).

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

306054220 is a wasteful number, since it uses less digits than its factorization.

306054220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2348 counting only the distinct ones).

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

The square root of 306054220 is about 17494.4053914387. The cubic root of 306054220 is about 673.9062084236.

The spelling of 306054220 in words is "three hundred six million, fifty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 167 172 215 334 430 668 835 860 1670 2131 3340 4262 7181 8524 10655 14362 21310 28724 35905 42620 71810 91633 143620 183266 355877 366532 458165 711754 916330 1423508 1779385 1832660 3558770 7117540 15302711 30605422 61210844 76513555 153027110 306054220