Search a number
-
+
434020293 = 32722933937
BaseRepresentation
bin11001110111101…
…001111111000101
31010020200111220200
4121313221333011
51342102122133
6111022321113
713520053200
oct3167517705
91106614820
10434020293
11202aa1963
12101429199
136bbc3455
14418dc937
1528183913
hex19de9fc5

434020293 has 36 divisors (see below), whose sum is σ = 754441740. Its totient is φ = 239452416.

The previous prime is 434020291. The next prime is 434020297. The reversal of 434020293 is 392020434.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 358799364 + 75220929 = 18942^2 + 8673^2 .

It is not a de Polignac number, because 434020293 - 21 = 434020291 is a prime.

It is a super-2 number, since 2×4340202932 = 376747229471611698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434020291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4180 + ... + 29757.

It is an arithmetic number, because the mean of its divisors is an integer number (20956715).

Almost surely, 2434020293 is an apocalyptic number.

It is an amenable number.

434020293 is a deficient number, since it is larger than the sum of its proper divisors (320421447).

434020293 is a wasteful number, since it uses less digits than its factorization.

434020293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33986 (or 33976 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 434020293 is about 20833.1536978922. The cubic root of 434020293 is about 757.1292280837.

The spelling of 434020293 in words is "four hundred thirty-four million, twenty thousand, two hundred ninety-three".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 33937 101811 237559 305433 712677 984173 1662913 2138031 2952519 4988739 6889211 8857557 14966217 20667633 48224477 62002899 144673431 434020293