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434728864 = 2525752861
BaseRepresentation
bin11001111010010…
…110111110100000
31010022000111220001
4121322112332200
51342242310424
6111045425344
713526064043
oct3172267640
91108014801
10434728864
11203436259
1210170b254
136c0b0b1b
1441a44c5a
1528273844
hex19e96fa0

434728864 has 24 divisors (see below), whose sum is σ = 859218948. Its totient is φ = 216514560.

The previous prime is 434728859. The next prime is 434728867. The reversal of 434728864 is 468827434.

It can be written as a sum of positive squares in 2 ways, for example, as 364504464 + 70224400 = 19092^2 + 8380^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (434728867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18207 + ... + 34654.

Almost surely, 2434728864 is an apocalyptic number.

It is an amenable number.

434728864 is a deficient number, since it is larger than the sum of its proper divisors (424490084).

434728864 is a wasteful number, since it uses less digits than its factorization.

434728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53128 (or 53120 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The square root of 434728864 is about 20850.1526133503. The cubic root of 434728864 is about 757.5410276696.

The spelling of 434728864 in words is "four hundred thirty-four million, seven hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 257 514 1028 2056 4112 8224 52861 105722 211444 422888 845776 1691552 13585277 27170554 54341108 108682216 217364432 434728864