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34831800349 is a prime number
BaseRepresentation
bin100000011100001000…
…110001100000011101
310022220111011210101121
4200130020301200131
51032313420102344
624000154210541
72342110263223
oct403410614035
9108814153347
1034831800349
1113854709165
126901123a51
133391421c68
141986044b13
15d8ce08684
hex81c23181d

34831800349 has 2 divisors, whose sum is σ = 34831800350. Its totient is φ = 34831800348.

The previous prime is 34831800337. The next prime is 34831800371. The reversal of 34831800349 is 94300813843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34431400249 + 400400100 = 185557^2 + 20010^2 .

It is a cyclic number.

It is not a de Polignac number, because 34831800349 - 223 = 34823411741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34831800319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17415900174 + 17415900175.

It is an arithmetic number, because the mean of its divisors is an integer number (17415900175).

Almost surely, 234831800349 is an apocalyptic number.

It is an amenable number.

34831800349 is a deficient number, since it is larger than the sum of its proper divisors (1).

34831800349 is an equidigital number, since it uses as much as digits as its factorization.

34831800349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 34831800349 in words is "thirty-four billion, eight hundred thirty-one million, eight hundred thousand, three hundred forty-nine".