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2324645060 = 225192417853
BaseRepresentation
bin1000101010001111…
…0100010011000100
320000000020012112012
42022203310103010
514230102120220
61022401113352
7111415104563
oct21243642304
96000205465
102324645060
11a93224271
1254a628858
132b07c392a
14180a45bda
15d913dac5
hex8a8f44c4

2324645060 has 72 divisors (see below), whose sum is σ = 5278547736. Its totient is φ = 859322880.

The previous prime is 2324644999. The next prime is 2324645077. The reversal of 2324645060 is 605464232.

It can be written as a sum of positive squares in 4 ways, for example, as 178917376 + 2145727684 = 13376^2 + 46322^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 292094 + ... + 299946.

It is an arithmetic number, because the mean of its divisors is an integer number (73313163).

Almost surely, 22324645060 is an apocalyptic number.

2324645060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324645060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639273868).

2324645060 is an abundant number, since it is smaller than the sum of its proper divisors (2953902676).

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

2324645060 is a wasteful number, since it uses less digits than its factorization.

2324645060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7941 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2324645060 is about 48214.5731081382. The cubic root of 2324645060 is about 1324.7041105043.

The spelling of 2324645060 in words is "two billion, three hundred twenty-four million, six hundred forty-five thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 361 380 410 722 779 820 1444 1558 1805 3116 3610 3895 7220 7790 7853 14801 15580 15706 29602 31412 39265 59204 74005 78530 148010 149207 157060 296020 298414 321973 596828 643946 746035 1287892 1492070 1609865 2834933 2984140 3219730 5669866 6117487 6439460 11339732 12234974 14174665 24469948 28349330 30587435 56698660 61174870 116232253 122349740 232464506 464929012 581161265 1162322530 2324645060