Search a number
-
+
2313104024 = 237115876397
BaseRepresentation
bin1000100111011111…
…0010101010011000
312222012111212012102
42021313302222120
514214123312044
61021305502532
7111215026340
oct21167625230
95865455172
102313104024
11a87761320
125467a1a48
132ab2b280a
1417d2bdd20
15d810e24e
hex89df2a98

2313104024 has 64 divisors (see below), whose sum is σ = 5417314560. Its totient is φ = 899533440.

The previous prime is 2313103993. The next prime is 2313104081. The reversal of 2313104024 is 4204013132.

2313104024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2313103987 and 2313104005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358394 + ... + 364790.

It is an arithmetic number, because the mean of its divisors is an integer number (84645540).

Almost surely, 22313104024 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 2313104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708657280).

2313104024 is an abundant number, since it is smaller than the sum of its proper divisors (3104210536).

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

2313104024 is a wasteful number, since it uses less digits than its factorization.

2313104024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2313104024 is about 48094.7400866249. The cubic root of 2313104024 is about 1322.5082443207.

Adding to 2313104024 its reverse (4204013132), we get a palindrome (6517117156).

The spelling of 2313104024 in words is "two billion, three hundred thirteen million, one hundred four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 587 616 1174 2348 4109 4696 6397 6457 8218 12794 12914 16436 25588 25828 32872 44779 45199 51176 51656 70367 89558 90398 140734 179116 180796 281468 358232 361592 492569 562936 985138 1970276 3755039 3940552 7510078 15020156 26285273 30040312 41305429 52570546 82610858 105141092 165221716 210282184 289138003 330443432 578276006 1156552012 2313104024