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304024020 = 223541831489
BaseRepresentation
bin10010000111110…
…000100111010100
3210012002000112220
4102013300213110
51110312232040
650100142340
710351106256
oct2207604724
9705060486
10304024020
11146682823
12859979b0
134aca9591
142c53dcd6
151ba562d0
hex121f09d4

304024020 has 96 divisors (see below), whose sum is σ = 883128960. Its totient is φ = 78090240.

The previous prime is 304024009. The next prime is 304024027. The reversal of 304024020 is 20420403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304024027) 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 31 ways as a sum of consecutive naturals, for example, 203436 + ... + 204924.

It is an arithmetic number, because the mean of its divisors is an integer number (9199260).

Almost surely, 2304024020 is an apocalyptic number.

304024020 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 304024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441564480).

304024020 is an abundant number, since it is smaller than the sum of its proper divisors (579104940).

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

304024020 is a wasteful number, since it uses less digits than its factorization.

304024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 304024020 is about 17436.2845812977. The cubic root of 304024020 is about 672.4127902463.

Adding to 304024020 its reverse (20420403), we get a palindrome (324444423).

The spelling of 304024020 in words is "three hundred four million, twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 83 123 164 166 205 246 249 332 410 415 492 498 615 820 830 996 1230 1245 1489 1660 2460 2490 2978 3403 4467 4980 5956 6806 7445 8934 10209 13612 14890 17015 17868 20418 22335 29780 34030 40836 44670 51045 61049 68060 89340 102090 122098 123587 183147 204180 244196 247174 305245 366294 370761 494348 610490 617935 732588 741522 915735 1220980 1235870 1483044 1831470 1853805 2471740 3662940 3707610 5067067 7415220 10134134 15201201 20268268 25335335 30402402 50670670 60804804 76006005 101341340 152012010 304024020