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323341241000 = 23531719020073
BaseRepresentation
bin1001011010010001010…
…00111100101010101000
31010220121012120220222112
410231020220330222220
520244200324203000
6404312500541452
732234461125551
oct4551050745250
91126535526875
10323341241000
11115145779118
12527ba3b1888
132464c7c820b
141191509b328
158626927235
hex4b48a3caa8

323341241000 has 64 divisors (see below), whose sum is σ = 801125516880. Its totient is φ = 121728460800.

The previous prime is 323341240991. The next prime is 323341241011. The reversal of 323341241000 is 142143323.

It can be written as a sum of positive squares in 8 ways, for example, as 58863493924 + 264477747076 = 242618^2 + 514274^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9493037 + ... + 9527036.

Almost surely, 2323341241000 is an apocalyptic number.

It is an amenable number.

323341241000 is an abundant number, since it is smaller than the sum of its proper divisors (477784275880).

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

323341241000 is a wasteful number, since it uses less digits than its factorization.

323341241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19020111 (or 19020097 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 323341241000 its reverse (142143323), we get a palindrome (323483384323).

The spelling of 323341241000 in words is "three hundred twenty-three billion, three hundred forty-one million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 19020073 38040146 76080292 95100365 152160584 190200730 323341241 380401460 475501825 646682482 760802920 951003650 1293364964 1616706205 1902007300 2377509125 2586729928 3233412410 3804014600 4755018250 6466824820 8083531025 9510036500 12933649640 16167062050 19020073000 32334124100 40417655125 64668248200 80835310250 161670620500 323341241000