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304412304 = 24372294463
BaseRepresentation
bin10010001001001…
…111011010010000
3210012210202011210
4102021033122100
51110412143204
650112340120
710354314300
oct2211173220
9705722153
10304412304
11146918519
1285b44640
134b0b4231
142c601600
151bad1389
hex1224f690

304412304 has 120 divisors (see below), whose sum is σ = 946546560. Its totient is φ = 83956992.

The previous prime is 304412293. The next prime is 304412327. The reversal of 304412304 is 403214403.

304412304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65977 + ... + 70439.

It is an arithmetic number, because the mean of its divisors is an integer number (7887888).

Almost surely, 2304412304 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 304412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473273280).

304412304 is an abundant number, since it is smaller than the sum of its proper divisors (642134256).

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

304412304 is a wasteful number, since it uses less digits than its factorization.

304412304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 304412304 is about 17447.4153959834. The cubic root of 304412304 is about 672.6989255957.

Adding to 304412304 its reverse (403214403), we get a palindrome (707626707).

The spelling of 304412304 in words is "three hundred four million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 812 1176 1218 1392 1421 1624 2352 2436 2842 3248 4263 4463 4872 5684 8526 8926 9744 11368 13389 17052 17852 22736 26778 31241 34104 35704 53556 62482 68208 71408 93723 107112 124964 129427 187446 214224 218687 249928 258854 374892 388281 437374 499856 517708 656061 749784 776562 874748 905989 1035416 1312122 1499568 1553124 1749496 1811978 2070832 2624244 2717967 3106248 3498992 3623956 5248488 5435934 6212496 6341923 7247912 10496976 10871868 12683846 14495824 19025769 21743736 25367692 38051538 43487472 50735384 76103076 101470768 152206152 304412304