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304541272 = 237219311319
BaseRepresentation
bin10010001001101…
…110111001011000
3210020001022002101
4102021232321120
51110430310042
650115213144
710355362300
oct2211567130
9706038071
10304541272
111469a6402
1285ba71b4
134b12ab49
142c636600
151bb096b7
hex1226ee58

304541272 has 96 divisors (see below), whose sum is σ = 722304000. Its totient is φ = 119568960.

The previous prime is 304541231. The next prime is 304541309. The reversal of 304541272 is 272145403.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 304541272.

It is a congruent number.

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, 230229 + ... + 231547.

It is an arithmetic number, because the mean of its divisors is an integer number (7524000).

Almost surely, 2304541272 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 304541272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361152000).

304541272 is an abundant number, since it is smaller than the sum of its proper divisors (417762728).

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

304541272 is a wasteful number, since it uses less digits than its factorization.

304541272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 304541272 is about 17451.1109101971. The cubic root of 304541272 is about 672.7939112286.

Adding to 304541272 its reverse (272145403), we get a palindrome (576686675).

The spelling of 304541272 in words is "three hundred four million, five hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 31 38 49 56 62 76 98 124 133 152 196 217 248 266 392 434 532 589 868 931 1064 1178 1319 1519 1736 1862 2356 2638 3038 3724 4123 4712 5276 6076 7448 8246 9233 10552 12152 16492 18466 25061 28861 32984 36932 40889 50122 57722 64631 73864 81778 100244 115444 129262 163556 175427 200488 230888 258524 286223 327112 350854 517048 572446 701708 776891 1144892 1227989 1403416 1553782 2003561 2289784 2455978 3107564 4007122 4911956 5438237 6215128 8014244 9823912 10876474 16028488 21752948 38067659 43505896 76135318 152270636 304541272