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3243334432 = 2513346133
BaseRepresentation
bin1100000101010001…
…0101101100100000
322101000220110102111
43001110111230200
523120243200212
61253455525104
7143241613342
oct30124255440
98330813374
103243334432
111414861188
12766229794
133c8c32000
1422aa69292
1513eb0cea7
hexc1515b20

3243334432 has 48 divisors (see below), whose sum is σ = 6917331960. Its totient is φ = 1496891136.

The previous prime is 3243334429. The next prime is 3243334481. The reversal of 3243334432 is 2344333423.

It can be written as a sum of positive squares in 4 ways, for example, as 191434896 + 3051899536 = 13836^2 + 55244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3243334394 and 3243334403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47238 + ... + 93370.

Almost surely, 23243334432 is an apocalyptic number.

3243334432 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 3243334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458665980).

3243334432 is an abundant number, since it is smaller than the sum of its proper divisors (3673997528).

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

3243334432 is an equidigital number, since it uses as much as digits as its factorization.

3243334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46182 (or 46148 counting only the distinct ones).

The product of its digits is 62208, while the sum is 31.

The square root of 3243334432 is about 56950.2803504952. The cubic root of 3243334432 is about 1480.2346888600.

Adding to 3243334432 its reverse (2344333423), we get a palindrome (5587667855).

The spelling of 3243334432 in words is "three billion, two hundred forty-three million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2197 2704 4394 5408 8788 17576 35152 46133 70304 92266 184532 369064 599729 738128 1199458 1476256 2398916 4797832 7796477 9595664 15592954 19191328 31185908 62371816 101354201 124743632 202708402 249487264 405416804 810833608 1621667216 3243334432