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3232113320 = 235318929287
BaseRepresentation
bin1100000010100110…
…0010001010101000
322100020210100221202
43000221202022220
523104410111240
61252415223332
7143044336622
oct30051421250
98306710852
103232113320
111409497637
12762517b48
133c68036b7
14229387c12
1513db43315
hexc0a622a8

3232113320 has 64 divisors (see below), whose sum is σ = 7591449600. Its totient is φ = 1237040640.

The previous prime is 3232113301. The next prime is 3232113329. The reversal of 3232113320 is 233112323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3232113292 and 3232113301.

It is not an unprimeable number, because it can be changed into a prime (3232113329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95717 + ... + 125003.

It is an arithmetic number, because the mean of its divisors is an integer number (118616400).

Almost surely, 23232113320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3232113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795724800).

3232113320 is an abundant number, since it is smaller than the sum of its proper divisors (4359336280).

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

3232113320 is a wasteful number, since it uses less digits than its factorization.

3232113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29418 (or 29414 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3232113320 is about 56851.6782513938. The cubic root of 3232113320 is about 1478.5256379023.

Adding to 3232113320 its reverse (233112323), we get a palindrome (3465225643).

The spelling of 3232113320 in words is "three billion, two hundred thirty-two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 89 124 155 178 248 310 356 445 620 712 890 1240 1780 2759 3560 5518 11036 13795 22072 27590 29287 55180 58574 110360 117148 146435 234296 292870 585740 907897 1171480 1815794 2606543 3631588 4539485 5213086 7263176 9078970 10426172 13032715 18157940 20852344 26065430 36315880 52130860 80802833 104261720 161605666 323211332 404014165 646422664 808028330 1616056660 3232113320