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304420480 = 2757135227
BaseRepresentation
bin10010001001010…
…001011010000000
3210012211011101121
4102021101122000
51110412423410
650112442024
710354350160
oct2211213200
9705734347
10304420480
11146923681
1285b49314
134b0b7b80
142c6045a0
151bad39da
hex12251680

304420480 has 128 divisors (see below), whose sum is σ = 895870080. Its totient is φ = 96325632.

The previous prime is 304420447. The next prime is 304420481. The reversal of 304420480 is 84024403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304420481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55627 + ... + 60853.

It is an arithmetic number, because the mean of its divisors is an integer number (6998985).

Almost surely, 2304420480 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 304420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447935040).

304420480 is an abundant number, since it is smaller than the sum of its proper divisors (591449600).

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

304420480 is a wasteful number, since it uses less digits than its factorization.

304420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 304420480 is about 17447.6496984551. The cubic root of 304420480 is about 672.7049480605.

Adding to 304420480 its reverse (84024403), we get a palindrome (388444883).

The spelling of 304420480 in words is "three hundred four million, four hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3640 4160 4480 5227 5824 7280 8320 10454 11648 14560 20908 26135 29120 36589 41816 52270 58240 67951 73178 83632 104540 135902 146356 167264 182945 209080 271804 292712 334528 339755 365890 418160 475657 543608 585424 669056 679510 731780 836320 951314 1087216 1170848 1359020 1463560 1672640 1902628 2174432 2341696 2378285 2718040 2927120 3345280 3805256 4348864 4683392 4756570 5436080 5854240 7610512 8697728 9513140 10872160 11708480 15221024 19026280 21744320 23416960 30442048 38052560 43488640 60884096 76105120 152210240 304420480