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3233341332 = 22321331322073
BaseRepresentation
bin1100000010111000…
…1101111110010100
322100100002202110200
43000232031332110
523110213410312
61252501420500
7143060643054
oct30056157624
98310082420
103233341332
11140a156221
12762a0a730
133c6b43630
142295c7564
1513dcd70dc
hexc0b8df94

3233341332 has 72 divisors (see below), whose sum is σ = 8830394664. Its totient is φ = 991650816.

The previous prime is 3233341327. The next prime is 3233341337. The reversal of 3233341332 is 2331433323.

It is a happy number.

3233341332 is a `hidden beast` number, since 323 + 3 + 3 + 4 + 1 + 332 = 666.

3233341332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3233341327) and next prime (3233341337).

It can be written as a sum of positive squares in 4 ways, for example, as 71978256 + 3161363076 = 8484^2 + 56226^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3233341296 and 3233341305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233341337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135448 + ... + 157520.

Almost surely, 23233341332 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 3233341332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415197332).

3233341332 is an abundant number, since it is smaller than the sum of its proper divisors (5597053332).

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

3233341332 is a wasteful number, since it uses less digits than its factorization.

3233341332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22409 (or 22404 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

The square root of 3233341332 is about 56862.4773642514. The cubic root of 3233341332 is about 1478.7128649730.

Adding to 3233341332 its reverse (2331433323), we get a palindrome (5564774655).

The spelling of 3233341332 in words is "three billion, two hundred thirty-three million, three hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 313 468 626 939 1252 1878 2817 3756 4069 5634 8138 11268 12207 16276 22073 24414 36621 44146 48828 66219 73242 88292 132438 146484 198657 264876 286949 397314 573898 794628 860847 1147796 1721694 2582541 3443388 5165082 6908849 10330164 13817698 20726547 27635396 41453094 62179641 82906188 89815037 124359282 179630074 248718564 269445111 359260148 538890222 808335333 1077780444 1616670666 3233341332