Search a number
-
+
434857840 = 2455435723
BaseRepresentation
bin11001111010110…
…110011101110000
31010022021001210221
4121322312131300
51342310422330
6111052302424
713530142054
oct3172663560
91108231727
10434857840
1120351414a
12101771a14
136c127741
1441a79c64
152829bb7a
hex19eb6770

434857840 has 20 divisors (see below), whose sum is σ = 1011044664. Its totient is φ = 173943104.

The previous prime is 434857831. The next prime is 434857853. The reversal of 434857840 is 48758434.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2717782 + ... + 2717941.

Almost surely, 2434857840 is an apocalyptic number.

434857840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434857840 is an abundant number, since it is smaller than the sum of its proper divisors (576186824).

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

434857840 is a wasteful number, since it uses less digits than its factorization.

434857840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435736 (or 5435730 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The square root of 434857840 is about 20853.2453109822. The cubic root of 434857840 is about 757.6159363915.

The spelling of 434857840 in words is "four hundred thirty-four million, eight hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5435723 10871446 21742892 27178615 43485784 54357230 86971568 108714460 217428920 434857840