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434728896 = 26371753359
BaseRepresentation
bin11001111010010…
…110111111000000
31010022000111221020
4121322112333000
51342242311041
6111045425440
713526064120
oct3172267700
91108014836
10434728896
11203436288
1210170b280
136c0b0b44
1441a44c80
1528273866
hex19e96fc0

434728896 has 224 divisors, whose sum is σ = 1422074880. Its totient is φ = 114376704.

The previous prime is 434728867. The next prime is 434728939. The reversal of 434728896 is 698827434.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210765 + ... + 1211123.

Almost surely, 2434728896 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 434728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711037440).

434728896 is an abundant number, since it is smaller than the sum of its proper divisors (987345984).

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

434728896 is a wasteful number, since it uses less digits than its factorization.

434728896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 434728896 is about 20850.1533807308. The cubic root of 434728896 is about 757.5410462569.

The spelling of 434728896 in words is "four hundred thirty-four million, seven hundred twenty-eight thousand, eight hundred ninety-six".