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345131953 is a prime number
BaseRepresentation
bin10100100100100…
…100101110110001
3220001102112000221
4110210210232301
51201323210303
654125213041
711360400415
oct2444445661
9801375027
10345131953
111678aa821
1297701181
13566704ba
1433ba0d45
15204764bd
hex14924bb1

345131953 has 2 divisors, whose sum is σ = 345131954. Its totient is φ = 345131952.

The previous prime is 345131947. The next prime is 345131957. The reversal of 345131953 is 359131543.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232623504 + 112508449 = 15252^2 + 10607^2 .

It is a cyclic number.

It is not a de Polignac number, because 345131953 - 25 = 345131921 is a prime.

It is a super-3 number, since 3×3451319533 (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (345131957) 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, 172565976 + 172565977.

It is an arithmetic number, because the mean of its divisors is an integer number (172565977).

Almost surely, 2345131953 is an apocalyptic number.

It is an amenable number.

345131953 is a deficient number, since it is larger than the sum of its proper divisors (1).

345131953 is an equidigital number, since it uses as much as digits as its factorization.

345131953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24300, while the sum is 34.

The square root of 345131953 is about 18577.7273367869. The cubic root of 345131953 is about 701.4473136483.

The spelling of 345131953 in words is "three hundred forty-five million, one hundred thirty-one thousand, nine hundred fifty-three".