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303042420 = 2232579101211
BaseRepresentation
bin10010000100000…
…000111101110100
3210010020011001100
4102010000331310
51110034324140
650023130100
710336550412
oct2204007564
9703204040
10303042420
1114607228a
12855a3930
134aa24855
142c3662b2
151b910530
hex12100f74

303042420 has 144 divisors (see below), whose sum is σ = 944536320. Its totient is φ = 78624000.

The previous prime is 303042401. The next prime is 303042433. The reversal of 303042420 is 24240303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 303042393 and 303042402.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1436115 + ... + 1436325.

It is an arithmetic number, because the mean of its divisors is an integer number (6559280).

Almost surely, 2303042420 is an apocalyptic number.

303042420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472268160).

303042420 is an abundant number, since it is smaller than the sum of its proper divisors (641493900).

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

303042420 is a wasteful number, since it uses less digits than its factorization.

303042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 303042420 is about 17408.1136255483. The cubic root of 303042420 is about 671.6883386853.

Adding to 303042420 its reverse (24240303), we get a palindrome (327282723).

The spelling of 303042420 in words is "three hundred three million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 101 158 180 202 211 237 303 316 395 404 422 474 505 606 633 711 790 844 909 948 1010 1055 1185 1212 1266 1422 1515 1580 1818 1899 2020 2110 2370 2532 2844 3030 3165 3555 3636 3798 4220 4545 4740 6060 6330 7110 7596 7979 9090 9495 12660 14220 15958 16669 18180 18990 21311 23937 31916 33338 37980 39895 42622 47874 50007 63933 66676 71811 79790 83345 85244 95748 100014 106555 119685 127866 143622 150021 159580 166690 191799 200028 213110 239370 250035 255732 287244 300042 319665 333380 359055 383598 426220 478740 500070 600084 639330 718110 750105 767196 958995 1000140 1278660 1436220 1500210 1683569 1917990 3000420 3367138 3835980 5050707 6734276 8417845 10101414 15152121 16835690 20202828 25253535 30304242 33671380 50507070 60608484 75760605 101014140 151521210 303042420