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304415340 = 223519713761
BaseRepresentation
bin10010001001010…
…000001001101100
3210012210220100020
4102021100021230
51110412242330
650112402140
710354326165
oct2211201154
9705726306
10304415340
1114691a829
1285b46350
134b0b5728
142c60276c
151bad2210
hex1225026c

304415340 has 96 divisors (see below), whose sum is σ = 910103040. Its totient is φ = 75801600.

The previous prime is 304415303. The next prime is 304415341. The reversal of 304415340 is 43514403.

It is a self number, because there is not a number n which added to its sum of digits gives 304415340.

It is not an unprimeable number, because it can be changed into a prime (304415341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79060 + ... + 82820.

It is an arithmetic number, because the mean of its divisors is an integer number (9480240).

Almost surely, 2304415340 is an apocalyptic number.

304415340 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 304415340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455051520).

304415340 is an abundant number, since it is smaller than the sum of its proper divisors (605687700).

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

304415340 is a wasteful number, since it uses less digits than its factorization.

304415340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 304415340 is about 17447.5024000571. The cubic root of 304415340 is about 672.7011619345.

Adding to 304415340 its reverse (43514403), we get a palindrome (347929743).

The spelling of 304415340 in words is "three hundred four million, four hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 190 213 228 284 285 355 380 426 570 710 852 1065 1140 1349 1420 2130 2698 3761 4047 4260 5396 6745 7522 8094 11283 13490 15044 16188 18805 20235 22566 26980 37610 40470 45132 56415 71459 75220 80940 112830 142918 214377 225660 267031 285836 357295 428754 534062 714590 801093 857508 1068124 1071885 1335155 1429180 1602186 2143770 2670310 3204372 4005465 4287540 5073589 5340620 8010930 10147178 15220767 16021860 20294356 25367945 30441534 50735890 60883068 76103835 101471780 152207670 304415340