Search a number
-
+
302863428 = 223373112923
BaseRepresentation
bin10010000011010…
…101010001000100
3210002220001112000
4102003111101010
51110013112203
650015225300
710335203520
oct2203252104
9702801460
10302863428
11145a5a85a
1285518230
134a99123a
142c31ad80
151b8c74a3
hex120d5444

302863428 has 96 divisors (see below), whose sum is σ = 926392320. Its totient is φ = 83734560.

The previous prime is 302863427. The next prime is 302863453. The reversal of 302863428 is 824368203.

302863428 is a `hidden beast` number, since 30 + 286 + 342 + 8 = 666.

It is a super-2 number, since 2×3028634282 = 183452512039822368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 302863392 and 302863401.

It is not an unprimeable number, because it can be changed into a prime (302863423) 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, 16975 + ... + 29897.

It is an arithmetic number, because the mean of its divisors is an integer number (9649920).

Almost surely, 2302863428 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 302863428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463196160).

302863428 is an abundant number, since it is smaller than the sum of its proper divisors (623528892).

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

302863428 is a wasteful number, since it uses less digits than its factorization.

302863428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12974 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 302863428 is about 17402.9718151815. The cubic root of 302863428 is about 671.5560684050.

The spelling of 302863428 in words is "three hundred two million, eight hundred sixty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 11718 12923 23436 25846 38769 51692 77538 90461 116307 155076 180922 232614 271383 348921 361844 400613 465228 542766 697842 801226 814149 1085532 1201839 1395684 1602452 1628298 2403678 2442447 2804291 3256596 3605517 4807356 4884894 5608582 7211034 8412873 9769788 10816551 11217164 14422068 16825746 21633102 25238619 33651492 43266204 50477238 75715857 100954476 151431714 302863428