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303010020 = 223253745497
BaseRepresentation
bin10010000011111…
…001000011100100
3210010011111121100
4102003321003210
51110032310040
650022320100
710336354065
oct2203710344
9703144540
10303010020
1114604aa05
1285589030
134aa12b91
142c35856c
151b905b30
hex120f90e4

303010020 has 72 divisors (see below), whose sum is σ = 943992504. Its totient is φ = 78617088.

The previous prime is 303010007. The next prime is 303010021. The reversal of 303010020 is 20010303.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39012516 + 263997504 = 6246^2 + 16248^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 303009984 and 303010011.

It is not an unprimeable number, because it can be changed into a prime (303010021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16089 + ... + 29408.

It is an arithmetic number, because the mean of its divisors is an integer number (13111007).

Almost surely, 2303010020 is an apocalyptic number.

303010020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

303010020 is an abundant number, since it is smaller than the sum of its proper divisors (640982484).

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

303010020 is a wasteful number, since it uses less digits than its factorization.

303010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45549 (or 45544 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 303010020 is about 17407.1830001296. The cubic root of 303010020 is about 671.6643998169.

Adding to 303010020 its reverse (20010303), we get a palindrome (323020323).

The spelling of 303010020 in words is "three hundred three million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 45497 90994 136491 181988 227485 272982 409473 454970 545964 682455 818946 909940 1364910 1637892 1683389 2047365 2729820 3366778 4094730 5050167 6733556 8189460 8416945 10100334 15150501 16833890 20200668 25250835 30301002 33667780 50501670 60602004 75752505 101003340 151505010 303010020