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323003412 = 223241534129
BaseRepresentation
bin10011010000001…
…010010000010100
3211111210021101100
4103100022100110
51130142102122
652015030100
711001324624
oct2320122024
9744707340
10323003412
11156366276
129020b330
1351bc32a4
1430c80884
151d554aac
hex1340a414

323003412 has 72 divisors (see below), whose sum is σ = 852382440. Its totient is φ = 103034880.

The previous prime is 323003389. The next prime is 323003419. The reversal of 323003412 is 214300323.

323003412 is a `hidden beast` number, since 323 + 0 + 0 + 341 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20034576 + 302968836 = 4476^2 + 17406^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323003419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76164 + ... + 80292.

It is an arithmetic number, because the mean of its divisors is an integer number (11838645).

Almost surely, 2323003412 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 323003412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426191220).

323003412 is an abundant number, since it is smaller than the sum of its proper divisors (529379028).

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

323003412 is a wasteful number, since it uses less digits than its factorization.

323003412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 323003412 is about 17972.2956797400. The cubic root of 323003412 is about 686.1236195153.

Adding to 323003412 its reverse (214300323), we get a palindrome (537303735).

The spelling of 323003412 in words is "three hundred twenty-three million, three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 106 123 159 164 212 246 318 369 477 492 636 738 954 1476 1908 2173 4129 4346 6519 8258 8692 12387 13038 16516 19557 24774 26076 37161 39114 49548 74322 78228 148644 169289 218837 338578 437674 507867 656511 677156 875348 1015734 1313022 1523601 1969533 2031468 2626044 3047202 3939066 6094404 7878132 8972317 17944634 26916951 35889268 53833902 80750853 107667804 161501706 323003412