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3042443232 = 253223944201
BaseRepresentation
bin1011010101010111…
…1111111111100000
321212000220010111200
42311111333333200
522212331140412
61221522041200
7135252224613
oct26525777740
97760803450
103042443232
11132141a6a4
1270aaa9200
1339642518a
1420c0d417a
1512c1799dc
hexb557ffe0

3042443232 has 72 divisors (see below), whose sum is σ = 8688345120. Its totient is φ = 1009881600.

The previous prime is 3042443231. The next prime is 3042443237. The reversal of 3042443232 is 2323442403.

3042443232 is a `hidden beast` number, since 3 + 0 + 424 + 4 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3042443196 and 3042443205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042443231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46732 + ... + 90932.

It is an arithmetic number, because the mean of its divisors is an integer number (120671460).

Almost surely, 23042443232 is an apocalyptic number.

3042443232 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 3042443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344172560).

3042443232 is an abundant number, since it is smaller than the sum of its proper divisors (5645901888).

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

3042443232 is a wasteful number, since it uses less digits than its factorization.

3042443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44456 (or 44445 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3042443232 is about 55158.3468932853. The cubic root of 3042443232 is about 1449.0192705480.

Adding to 3042443232 its reverse (2323442403), we get a palindrome (5365885635).

The spelling of 3042443232 in words is "three billion, forty-two million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 239 288 478 717 956 1434 1912 2151 2868 3824 4302 5736 7648 8604 11472 17208 22944 34416 44201 68832 88402 132603 176804 265206 353608 397809 530412 707216 795618 1060824 1414432 1591236 2121648 3182472 4243296 6364944 10564039 12729888 21128078 31692117 42256156 63384234 84512312 95076351 126768468 169024624 190152702 253536936 338049248 380305404 507073872 760610808 1014147744 1521221616 3042443232