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2980642340 = 2251311464009
BaseRepresentation
bin1011000110101000…
…1111111000100100
321200201121022121202
42301222033320210
522101021023330
61211433302032
7133602020234
oct26152177044
97621538552
102980642340
11129a549785
126b2264918
133866975c0
14203c07cc4
15126a1d445
hexb1a8fe24

2980642340 has 24 divisors (see below), whose sum is σ = 6740837880. Its totient is φ = 1100544768.

The previous prime is 2980642321. The next prime is 2980642361. The reversal of 2980642340 is 432460892.

It is a happy number.

2980642340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9084196 + 2971558144 = 3014^2 + 54512^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2980642294 and 2980642303.

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, 5731745 + ... + 5732264.

It is an arithmetic number, because the mean of its divisors is an integer number (280868245).

Almost surely, 22980642340 is an apocalyptic number.

2980642340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2980642340 is an abundant number, since it is smaller than the sum of its proper divisors (3760195540).

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

2980642340 is a wasteful number, since it uses less digits than its factorization.

2980642340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11464031 (or 11464029 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2980642340 is about 54595.2593180031. The cubic root of 2980642340 is about 1439.1408101175.

The spelling of 2980642340 in words is "two billion, nine hundred eighty million, six hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 11464009 22928018 45856036 57320045 114640090 149032117 229280180 298064234 596128468 745160585 1490321170 2980642340