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312739241 is a prime number
BaseRepresentation
bin10010101001000…
…000010110101001
3210210110210120212
4102221000112221
51120030123431
651011030505
710515145133
oct2251002651
9723423525
10312739241
11150595691
128889b435
134ca3b409
142d76c053
151c6c872b
hex12a405a9

312739241 has 2 divisors, whose sum is σ = 312739242. Its totient is φ = 312739240.

The previous prime is 312739187. The next prime is 312739261. The reversal of 312739241 is 142937213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276257641 + 36481600 = 16621^2 + 6040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312739241 is a prime.

It is a super-2 number, since 2×3127392412 = 195611665722512162, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312739198 and 312739207.

It is not a weakly prime, because it can be changed into another prime (312739261) 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, 156369620 + 156369621.

It is an arithmetic number, because the mean of its divisors is an integer number (156369621).

Almost surely, 2312739241 is an apocalyptic number.

It is an amenable number.

312739241 is a deficient number, since it is larger than the sum of its proper divisors (1).

312739241 is an equidigital number, since it uses as much as digits as its factorization.

312739241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 32.

The square root of 312739241 is about 17684.4349923881. The cubic root of 312739241 is about 678.7775333047. Note that the first 3 decimals are identical.

The spelling of 312739241 in words is "three hundred twelve million, seven hundred thirty-nine thousand, two hundred forty-one".