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434347965 = 3259652177
BaseRepresentation
bin11001111000111…
…001111110111101
31010021022011101200
4121320321332331
51342143113330
6111033330113
713522616412
oct3170717675
91107264350
10434347965
112031a6067
12101566939
136bca963c
1441986109
15281eaa60
hex19e39fbd

434347965 has 12 divisors (see below), whose sum is σ = 752869884. Its totient is φ = 231652224.

The previous prime is 434347937. The next prime is 434347981. The reversal of 434347965 is 569743434.

It can be written as a sum of positive squares in 2 ways, for example, as 266930244 + 167417721 = 16338^2 + 12939^2 .

It is not a de Polignac number, because 434347965 - 29 = 434347453 is a prime.

It is a super-3 number, since 3×4343479653 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9652177 = 434347965 / (4 + 3 + 4 + 3 + 4 + 7 + 9 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 434347965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4826044 + ... + 4826133.

It is an arithmetic number, because the mean of its divisors is an integer number (62739157).

Almost surely, 2434347965 is an apocalyptic number.

434347965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

434347965 is a deficient number, since it is larger than the sum of its proper divisors (318521919).

434347965 is a wasteful number, since it uses less digits than its factorization.

434347965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652188 (or 9652185 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 434347965 is about 20841.0164099547. The cubic root of 434347965 is about 757.3197165970.

The spelling of 434347965 in words is "four hundred thirty-four million, three hundred forty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 9652177 28956531 48260885 86869593 144782655 434347965