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3032228844 = 22361397481
BaseRepresentation
bin1011010010111100…
…0010001111101100
321211022200012000000
42310233002033230
522202222310334
61220515104300
7135066343221
oct26457021754
97738605000
103032228844
111316683457
127075a2090
13394289b68
1420a9d5948
1512b30d299
hexb4bc23ec

3032228844 has 84 divisors (see below), whose sum is σ = 8014269480. Its totient is φ = 1003337280.

The previous prime is 3032228819. The next prime is 3032228911. The reversal of 3032228844 is 4488222303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3032228799 and 3032228808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 401584 + ... + 409064.

It is an arithmetic number, because the mean of its divisors is an integer number (95407970).

Almost surely, 23032228844 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 3032228844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007134740).

3032228844 is an abundant number, since it is smaller than the sum of its proper divisors (4982040636).

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

3032228844 is a wasteful number, since it uses less digits than its factorization.

3032228844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3032228844 is about 55065.6775496316. The cubic root of 3032228844 is about 1447.3958560204.

The spelling of 3032228844 in words is "three billion, thirty-two million, two hundred twenty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 243 278 324 417 486 556 729 834 972 1251 1458 1668 2502 2916 3753 5004 7481 7506 11259 14962 15012 22443 22518 29924 33777 44886 45036 67329 67554 89772 101331 134658 135108 201987 202662 269316 403974 405324 605961 807948 1039859 1211922 1817883 2079718 2423844 3119577 3635766 4159436 5453649 6239154 7271532 9358731 10907298 12478308 18717462 21814596 28076193 37434924 56152386 84228579 112304772 168457158 252685737 336914316 505371474 758057211 1010742948 1516114422 3032228844