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2978340329 is a prime number
BaseRepresentation
bin1011000110000101…
…1101110111101001
321200120021100212002
42301201131313221
522044423342304
61211312100345
7133543321646
oct26141356751
97616240762
102978340329
111299217198
126b15346b5
1338606c873
142037a8dcd
1512671631e
hexb185dde9

2978340329 has 2 divisors, whose sum is σ = 2978340330. Its totient is φ = 2978340328.

The previous prime is 2978340301. The next prime is 2978340331. The reversal of 2978340329 is 9230438792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1852872025 + 1125468304 = 43045^2 + 33548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2978340329 is a prime.

It is a super-2 number, since 2×29783403292 = 17741022230695656482, which contains 22 as substring.

Together with 2978340331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2978540329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1489170164 + 1489170165.

It is an arithmetic number, because the mean of its divisors is an integer number (1489170165).

Almost surely, 22978340329 is an apocalyptic number.

It is an amenable number.

2978340329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2978340329 is an equidigital number, since it uses as much as digits as its factorization.

2978340329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 653184, while the sum is 47.

The square root of 2978340329 is about 54574.1727284986. The cubic root of 2978340329 is about 1438.7702220762.

The spelling of 2978340329 in words is "two billion, nine hundred seventy-eight million, three hundred forty thousand, three hundred twenty-nine".