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303242120 = 23523477013
BaseRepresentation
bin10010000100110…
…001101110001000
3210010121021222122
4102010301232020
51110112221440
650031310412
710341341546
oct2204615610
9703537878
10303242120
11146199325
128567b408
134aa9470c
142c3b8d96
151b94e7b5
hex12131b88

303242120 has 64 divisors (see below), whose sum is σ = 727211520. Its totient is φ = 113538304.

The previous prime is 303242117. The next prime is 303242129. The reversal of 303242120 is 21242303.

It is not an unprimeable number, because it can be changed into a prime (303242129) by changing a digit.

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, 39734 + ... + 46746.

It is an arithmetic number, because the mean of its divisors is an integer number (11362680).

Almost surely, 2303242120 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 303242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363605760).

303242120 is an abundant number, since it is smaller than the sum of its proper divisors (423969400).

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

303242120 is a wasteful number, since it uses less digits than its factorization.

303242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 303242120 is about 17413.8485120320. The cubic root of 303242120 is about 671.8358501652.

Adding to 303242120 its reverse (21242303), we get a palindrome (324484423).

The spelling of 303242120 in words is "three hundred three million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 920 940 1081 1880 2162 4324 5405 7013 8648 10810 14026 21620 28052 35065 43240 56104 70130 140260 161299 280520 322598 329611 645196 659222 806495 1290392 1318444 1612990 1648055 2636888 3225980 3296110 6451960 6592220 7581053 13184440 15162106 30324212 37905265 60648424 75810530 151621060 303242120