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2321411364 = 2232615212029
BaseRepresentation
bin1000101001011101…
…1110110100100100
312222210010220201200
42022113132310210
514223240130424
61022203522500
7111345446106
oct21227366444
95883126650
102321411364
11a91415798
12549529430
132acc30abc
14180443576
15d8c008c9
hex8a5ded24

2321411364 has 72 divisors (see below), whose sum is σ = 5978601720. Its totient is φ = 759283200.

The previous prime is 2321411341. The next prime is 2321411381. The reversal of 2321411364 is 4631141232.

It is a happy number.

2321411364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 242051364 + 2079360000 = 15558^2 + 45600^2 .

It is a nude number because it is divisible by every one of its digits.

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, 1143102 + ... + 1145130.

It is an arithmetic number, because the mean of its divisors is an integer number (83036135).

Almost surely, 22321411364 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 2321411364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989300860).

2321411364 is an abundant number, since it is smaller than the sum of its proper divisors (3657190356).

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

2321411364 is a wasteful number, since it uses less digits than its factorization.

2321411364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2616 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2321411364 is about 48181.0270127153. The cubic root of 2321411364 is about 1324.0895825392.

Adding to 2321411364 its reverse (4631141232), we get a palindrome (6952552596).

The spelling of 2321411364 in words is "two billion, three hundred twenty-one million, four hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 521 549 732 1042 1098 1563 2029 2084 2196 3126 4058 4689 6087 6252 8116 9378 12174 18261 18756 24348 31781 36522 63562 73044 95343 123769 127124 190686 247538 286029 371307 381372 495076 572058 742614 1057109 1113921 1144116 1485228 2114218 2227842 3171327 4228436 4455684 6342654 9513981 12685308 19027962 38055924 64483649 128967298 193450947 257934596 386901894 580352841 773803788 1160705682 2321411364