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323223434020 = 225611012623141
BaseRepresentation
bin1001011010000011001…
…11100011001100100100
31010220021222220201012001
410231001213203030210
520243430144342040
6404253051535044
732231530600144
oct4550147431444
91126258821161
10323223434020
11115095224a83
1252786a5a484
132463128b546
1411903592924
15861b40659a
hex4b419e3324

323223434020 has 48 divisors (see below), whose sum is σ = 696727500336. Its totient is φ = 125910720000.

The previous prime is 323223433987. The next prime is 323223434057. The reversal of 323223434020 is 20434322323.

It can be written as a sum of positive squares in 8 ways, for example, as 42815058724 + 280408375296 = 206918^2 + 529536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 323223434020.

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, 1188351 + ... + 1434790.

It is an arithmetic number, because the mean of its divisors is an integer number (14515156257).

Almost surely, 2323223434020 is an apocalyptic number.

It is an amenable number.

323223434020 is an abundant number, since it is smaller than the sum of its proper divisors (373504066316).

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

323223434020 is a wasteful number, since it uses less digits than its factorization.

323223434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623312 (or 2623310 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 323223434020 its reverse (20434322323), we get a palindrome (343657756343).

The spelling of 323223434020 in words is "three hundred twenty-three billion, two hundred twenty-three million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 61 101 122 202 244 305 404 505 610 1010 1220 2020 6161 12322 24644 30805 61610 123220 2623141 5246282 10492564 13115705 26231410 52462820 160011601 264937241 320023202 529874482 640046404 800058005 1059748964 1324686205 1600116010 2649372410 3200232020 5298744820 16161171701 32322343402 64644686804 80805858505 161611717010 323223434020