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3012034120 = 235891018377
BaseRepresentation
bin1011001110000111…
…1111111001001000
321202220200012001021
42303201333321020
522132040042440
61214514202224
7134432603404
oct26341777110
97686605037
103012034120
11130623a8a7
12700883374
13390038c14
1420805a104
1512966e84a
hexb387fe48

3012034120 has 64 divisors (see below), whose sum is σ = 6921903600. Its totient is φ = 1179340800.

The previous prime is 3012034117. The next prime is 3012034133. The reversal of 3012034120 is 214302103.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1083594724 + 1928439396 = 32918^2 + 43914^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3012034094 and 3012034103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355372 + ... + 363748.

Almost surely, 23012034120 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 3012034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460951800).

3012034120 is an abundant number, since it is smaller than the sum of its proper divisors (3909869480).

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

3012034120 is a wasteful number, since it uses less digits than its factorization.

3012034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8578 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3012034120 is about 54882.0017856492. The cubic root of 3012034120 is about 1444.1754645935.

Adding to 3012034120 its reverse (214302103), we get a palindrome (3226336223).

The spelling of 3012034120 in words is "three billion, twelve million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 101 178 202 356 404 445 505 712 808 890 1010 1780 2020 3560 4040 8377 8989 16754 17978 33508 35956 41885 44945 67016 71912 83770 89890 167540 179780 335080 359560 745553 846077 1491106 1692154 2982212 3384308 3727765 4230385 5964424 6768616 7455530 8460770 14911060 16921540 29822120 33843080 75300853 150601706 301203412 376504265 602406824 753008530 1506017060 3012034120