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323413041 = 37192371153
BaseRepresentation
bin10011010001101…
…110010000110001
3211112120002021210
4103101232100301
51130243204131
652031510333
711004652110
oct2321562061
9745502253
10323413041
11156616006
12903883a9
1352007883
1430d49c77
151d5d6146
hex1346e431

323413041 has 48 divisors (see below), whose sum is σ = 534643584. Its totient is φ = 170201088.

The previous prime is 323413031. The next prime is 323413061. The reversal of 323413041 is 140314323.

It is not a de Polignac number, because 323413041 - 26 = 323412977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 323412999 and 323413017.

It is not an unprimeable number, because it can be changed into a prime (323413031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279921 + ... + 281073.

It is an arithmetic number, because the mean of its divisors is an integer number (11138408).

Almost surely, 2323413041 is an apocalyptic number.

It is an amenable number.

323413041 is a deficient number, since it is larger than the sum of its proper divisors (211230543).

323413041 is a wasteful number, since it uses less digits than its factorization.

323413041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 323413041 is about 17983.6881923592. The cubic root of 323413041 is about 686.4135415354.

Adding to 323413041 its reverse (140314323), we get a palindrome (463727364).

The spelling of 323413041 in words is "three hundred twenty-three million, four hundred thirteen thousand, forty-one".

Divisors: 1 3 7 19 21 37 57 111 133 259 361 399 703 777 1083 1153 2109 2527 3459 4921 7581 8071 13357 14763 21907 24213 40071 42661 65721 93499 127983 153349 280497 298627 416233 460047 810559 895881 1248699 2431677 2913631 5673913 8740893 15400621 17021739 46201863 107804347 323413041