434252313 has 64 divisors (see below), whose sum is σ = 738355200. Its totient is φ = 249842880.

The previous prime is 434252311. The next prime is 434252321. The reversal of 434252313 is 313252434.

434252313 is a `hidden beast` number, since 4 + 3 + 425 + 231 + 3 = 666.

It is not a de Polignac number, because 434252313 - 2¹ = 434252311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (434252311) 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 in 63 ways as a sum of consecutive naturals, for example, 472068 + ... + 472986.

It is an arithmetic number, because the mean of its divisors is an integer number (11536800).

Almost surely, 2^434252313 is an apocalyptic number.

434252313 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

434252313 is a deficient number, since it is larger than the sum of its proper divisors (304102887).

434252313 is a wasteful number, since it uses less digits than its factorization.

434252313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 434252313 is about 20838.7214818952. The cubic root of 434252313 is about 757.2641202630.

The spelling of 434252313 in words is "four hundred thirty-four million, two hundred fifty-two thousand, three hundred thirteen".