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34404313381 is a prime number
BaseRepresentation
bin100000000010101010…
…000010100100100101
310021210200210012111221
4200002222002210211
51030430001012011
623445523500341
72325366560434
oct400252024445
9107720705457
1034404313381
1113655379949
126801b276b1
1333239a84a9
14194536711b
15d65615971
hex802a82925

34404313381 has 2 divisors, whose sum is σ = 34404313382. Its totient is φ = 34404313380.

The previous prime is 34404313379. The next prime is 34404313423. The reversal of 34404313381 is 18331340443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20464733025 + 13939580356 = 143055^2 + 118066^2 .

It is a cyclic number.

It is not a de Polignac number, because 34404313381 - 21 = 34404313379 is a prime.

It is a super-2 number, since 2×344043133812 (a number of 22 digits) contains 22 as substring.

Together with 34404313379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34404313331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17202156690 + 17202156691.

It is an arithmetic number, because the mean of its divisors is an integer number (17202156691).

Almost surely, 234404313381 is an apocalyptic number.

It is an amenable number.

34404313381 is a deficient number, since it is larger than the sum of its proper divisors (1).

34404313381 is an equidigital number, since it uses as much as digits as its factorization.

34404313381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 34404313381 in words is "thirty-four billion, four hundred four million, three hundred thirteen thousand, three hundred eighty-one".