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323000412 = 2237131149197
BaseRepresentation
bin10011010000001…
…001100001011100
3211111210010021020
4103100021201130
51130142003122
652015004140
711001313110
oct2320114134
9744703236
10323000412
11156363a99
1290209650
1351bc1b07
1430c7d740
151d553c5c
hex1340985c

323000412 has 96 divisors (see below), whose sum is σ = 878169600. Its totient is φ = 90504960.

The previous prime is 323000411. The next prime is 323000413. The reversal of 323000412 is 214000323.

It is an interprime number because it is at equal distance from previous prime (323000411) and next prime (323000413).

It is a junction number, because it is equal to n+sod(n) for n = 323000391 and 323000400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323000411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639498 + ... + 1639694.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2323000412 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 323000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439084800).

323000412 is an abundant number, since it is smaller than the sum of its proper divisors (555169188).

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

323000412 is a wasteful number, since it uses less digits than its factorization.

323000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 323000412 is about 17972.2122177544. The cubic root of 323000412 is about 686.1214953094.

Adding to 323000412 its reverse (214000323), we get a palindrome (537000735).

The spelling of 323000412 in words is "three hundred twenty-three million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 149 197 262 298 393 394 447 524 591 596 786 788 894 917 1043 1182 1379 1572 1788 1834 2086 2364 2751 2758 3129 3668 4137 4172 5502 5516 6258 8274 11004 12516 16548 19519 25807 29353 39038 51614 58557 58706 77421 78076 88059 103228 117114 117412 136633 154842 176118 180649 205471 234228 273266 309684 352236 361298 409899 410942 541947 546532 616413 722596 819798 821884 1083894 1232826 1639596 2167788 2465652 3845243 7690486 11535729 15380972 23071458 26916701 46142916 53833402 80750103 107666804 161500206 323000412