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1323311412 = 2232943191463
BaseRepresentation
bin100111011100000…
…0010000100110100
310102020001011222210
41032320002010310
510202231431122
6335151053420
744535650523
oct11670020464
93366034883
101323311412
11619a7a4a5
1230b211270
1318120a707
14c7a6c4ba
157b29740c
hex4ee02134

1323311412 has 96 divisors (see below), whose sum is σ = 3292692480. Its totient is φ = 412917120.

The previous prime is 1323311389. The next prime is 1323311443. The reversal of 1323311412 is 2141133231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2857893 + ... + 2858355.

It is an arithmetic number, because the mean of its divisors is an integer number (34298880).

Almost surely, 21323311412 is an apocalyptic number.

1323311412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646346240).

1323311412 is an abundant number, since it is smaller than the sum of its proper divisors (1969381068).

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

1323311412 is a wasteful number, since it uses less digits than its factorization.

1323311412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 731 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1323311412 is about 36377.3475118789. The cubic root of 1323311412 is about 1097.8778401657.

Adding to 1323311412 its reverse (2141133231), we get a palindrome (3464444643).

The spelling of 1323311412 in words is "one billion, three hundred twenty-three million, three hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 191 258 348 382 463 516 573 764 926 1146 1247 1389 1852 2292 2494 2778 3741 4988 5539 5556 7482 8213 11078 13427 14964 16426 16617 19909 22156 24639 26854 32852 33234 39818 40281 49278 53708 59727 66468 79636 80562 88433 98556 119454 161124 176866 238177 238908 265299 353732 476354 530598 577361 714531 952708 1061196 1154722 1429062 1732083 2309444 2564557 2858124 3464166 3802619 5129114 6928332 7605238 7693671 10258228 11407857 15210476 15387342 22815714 30774684 45631428 110275951 220551902 330827853 441103804 661655706 1323311412