Search a number
-
+
2313628884 = 2232722634987
BaseRepresentation
bin1000100111100111…
…0010110011010100
312222020111112011200
42021321302303110
514214242111014
61021325032500
7111222343500
oct21171626324
95866445150
102313628884
11a87a8a696
125469b5730
132ab437698
1417d3b9300
15d81b4a09
hex89e72cd4

2313628884 has 108 divisors (see below), whose sum is σ = 6830407584. Its totient is φ = 658391328.

The previous prime is 2313628847. The next prime is 2313628897. The reversal of 2313628884 is 4888263132.

2313628884 is a `hidden beast` number, since 2 + 3 + 13 + 628 + 8 + 8 + 4 = 666.

2313628884 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×23136288843 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 461439 + ... + 466425.

Almost surely, 22313628884 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 2313628884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415203792).

2313628884 is an abundant number, since it is smaller than the sum of its proper divisors (4516778700).

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

2313628884 is a wasteful number, since it uses less digits than its factorization.

2313628884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5262 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2313628884 is about 48100.1962989757. The cubic root of 2313628884 is about 1322.6082656449.

The spelling of 2313628884 in words is "two billion, three hundred thirteen million, six hundred twenty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 263 294 441 526 588 789 882 1052 1578 1764 1841 2367 3156 3682 4734 4987 5523 7364 9468 9974 11046 12887 14961 16569 19948 22092 25774 29922 33138 34909 38661 44883 51548 59844 66276 69818 77322 89766 104727 115983 139636 154644 179532 209454 231966 244363 314181 418908 463932 488726 628362 733089 977452 1256724 1311581 1466178 2199267 2623162 2932356 3934743 4398534 5246324 7869486 8797068 9181067 11804229 15738972 18362134 23608458 27543201 36724268 47216916 55086402 64267469 82629603 110172804 128534938 165259206 192802407 257069876 330518412 385604814 578407221 771209628 1156814442 2313628884