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3323200041 = 3472857977
BaseRepresentation
bin1100011000010100…
…0000001000101001
322120121012001110000
43012011000020221
523301214400131
61305431413213
7145231506600
oct30605001051
98517161400
103323200041
111455950417
12788b24209
1340c646175
142374d8a37
15146b36ce6
hexc6140229

3323200041 has 60 divisors (see below), whose sum is σ = 5787438228. Its totient is φ = 1894814208.

The previous prime is 3323200039. The next prime is 3323200043. The reversal of 3323200041 is 1400023233.

It is an interprime number because it is at equal distance from previous prime (3323200039) and next prime (3323200043).

It can be written as a sum of positive squares in 2 ways, for example, as 3094585641 + 228614400 = 55629^2 + 15120^2 .

It is not a de Polignac number, because 3323200041 - 21 = 3323200039 is a prime.

It is a super-2 number, since 2×33232000412 = 22087317025004803362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3323199987 and 3323200023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323200043) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3400945 + ... + 3401921.

Almost surely, 23323200041 is an apocalyptic number.

It is an amenable number.

3323200041 is a deficient number, since it is larger than the sum of its proper divisors (2464238187).

3323200041 is an equidigital number, since it uses as much as digits as its factorization.

3323200041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1844 counting only the distinct ones).

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

The square root of 3323200041 is about 57647.2032365838. The cubic root of 3323200041 is about 1492.2863328884.

Adding to 3323200041 its reverse (1400023233), we get a palindrome (4723223274).

The spelling of 3323200041 in words is "three billion, three hundred twenty-three million, two hundred thousand, forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 857 977 1323 2571 2931 3969 5999 6839 7713 8793 17997 20517 23139 26379 41993 47873 53991 61551 69417 79137 125979 143619 161973 184653 377937 430857 485919 553959 837289 1133811 1292571 2511867 3401433 3877713 5861023 7535601 17583069 22606803 41027161 52749207 67820409 123081483 158247621 369244449 474742863 1107733347 3323200041