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434708864 = 2767173293
BaseRepresentation
bin11001111010010…
…010000110000000
31010021222111110022
4121322102012000
51342241140424
6111045153012
713525651532
oct3172220600
91107874408
10434708864
11203422227
121016bb768
136c0a49a5
1441a3b852
152826c95e
hex19e92180

434708864 has 64 divisors (see below), whose sum is σ = 887045040. Its totient is φ = 212146176.

The previous prime is 434708863. The next prime is 434708881. The reversal of 434708864 is 468807434.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434708863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1483502 + ... + 1483794.

Almost surely, 2434708864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443522520).

434708864 is an abundant number, since it is smaller than the sum of its proper divisors (452336176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434708864 is a wasteful number, since it uses less digits than its factorization.

434708864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 434708864 is about 20849.6729950376. The cubic root of 434708864 is about 757.5294104263.

The spelling of 434708864 in words is "four hundred thirty-four million, seven hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 173 268 293 346 536 586 692 1072 1172 1384 2144 2344 2768 4288 4688 5536 8576 9376 11072 11591 18752 19631 22144 23182 37504 39262 46364 50689 78524 92728 101378 157048 185456 202756 314096 370912 405512 628192 741824 811024 1256384 1483648 1622048 2512768 3244096 3396163 6488192 6792326 13584652 27169304 54338608 108677216 217354432 434708864