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2314302828 = 22319431132089
BaseRepresentation
bin1000100111110001…
…0111010101101100
312222021202202122120
42021330113111230
514214430142303
61021351312540
7111231151365
oct21174272554
95867682576
102314302828
11a883aaa72
1254707b750
132ab612376
1417d512b6c
15d8299553
hex89f1756c

2314302828 has 96 divisors (see below), whose sum is σ = 5870726400. Its totient is φ = 707180544.

The previous prime is 2314302827. The next prime is 2314302877. The reversal of 2314302828 is 8282034132.

It is not an unprimeable number, because it can be changed into a prime (2314302821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106808 + ... + 1108896.

It is an arithmetic number, because the mean of its divisors is an integer number (61153400).

Almost surely, 22314302828 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 2314302828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935363200).

2314302828 is an abundant number, since it is smaller than the sum of its proper divisors (3556423572).

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

2314302828 is a wasteful number, since it uses less digits than its factorization.

2314302828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2314302828 is about 48107.2014151728. The cubic root of 2314302828 is about 1322.7366753733.

The spelling of 2314302828 in words is "two billion, three hundred fourteen million, three hundred two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 113 114 129 172 226 228 258 339 452 516 678 817 1356 1634 2089 2147 2451 3268 4178 4294 4859 4902 6267 6441 8356 8588 9718 9804 12534 12882 14577 19436 25068 25764 29154 39691 58308 79382 89827 92321 119073 158764 179654 184642 236057 238146 269481 276963 359308 369284 472114 476292 538962 553926 708171 944228 1077924 1107852 1416342 1706713 2832684 3413426 4485083 5120139 6826852 8970166 10150451 10240278 13455249 17940332 20300902 20480556 26910498 30451353 40601804 53820996 60902706 121805412 192858569 385717138 578575707 771434276 1157151414 2314302828