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3264003232 = 257234091549
BaseRepresentation
bin1100001010001100…
…1011110010100000
322102110210112200121
43002203023302200
523141041100412
61255514530024
7143612366260
oct30243136240
98373715617
103264003232
111425498a36
12771136914
134002ba979
1422d6c97a0
15141842107
hexc28cbca0

3264003232 has 96 divisors (see below), whose sum is σ = 7687008000. Its totient is φ = 1333905408.

The previous prime is 3264003199. The next prime is 3264003233. The reversal of 3264003232 is 2323004623.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3264003197 and 3264003206.

It is not an unprimeable number, because it can be changed into a prime (3264003233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2106394 + ... + 2107942.

It is an arithmetic number, because the mean of its divisors is an integer number (80073000).

Almost surely, 23264003232 is an apocalyptic number.

3264003232 is a gapful number since it is divisible by the number (32) 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 3264003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843504000).

3264003232 is an abundant number, since it is smaller than the sum of its proper divisors (4423004768).

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

3264003232 is a wasteful number, since it uses less digits than its factorization.

3264003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 3264003232 is about 57131.4557139935. The cubic root of 3264003232 is about 1483.3723973160.

Adding to 3264003232 its reverse (2323004623), we get a palindrome (5587007855).

The spelling of 3264003232 in words is "three billion, two hundred sixty-four million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 409 644 736 818 1288 1549 1636 2576 2863 3098 3272 5152 5726 6196 6544 9407 10843 11452 12392 13088 18814 21686 22904 24784 35627 37628 43372 45808 49568 65849 71254 75256 86744 91616 131698 142508 150512 173488 249389 263396 285016 301024 346976 498778 526792 570032 633541 997556 1053584 1140064 1267082 1995112 2107168 2534164 3990224 4434787 5068328 7980448 8869574 10136656 14571443 17739148 20273312 29142886 35478296 58285772 70956592 102000101 116571544 141913184 204000202 233143088 408000404 466286176 816000808 1632001616 3264003232