Search a number
-
+
434012080 = 24524122511
BaseRepresentation
bin11001110111100…
…111111110110000
31010020200002122111
4121313213332300
51342101341310
6111022215104
713520020225
oct3167477660
91106602574
10434012080
11202a96777
12101424494
136bbbc7a8
14418d994c
152818128a
hex19de7fb0

434012080 has 40 divisors (see below), whose sum is σ = 1013310144. Its totient is φ = 172876800.

The previous prime is 434012077. The next prime is 434012099. The reversal of 434012080 is 80210434.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8025 + ... + 30535.

Almost surely, 2434012080 is an apocalyptic number.

434012080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434012080 is an abundant number, since it is smaller than the sum of its proper divisors (579298064).

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

434012080 is a wasteful number, since it uses less digits than its factorization.

434012080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22765 (or 22759 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 434012080 is about 20832.9565832601. The cubic root of 434012080 is about 757.1244523150.

The spelling of 434012080 in words is "four hundred thirty-four million, twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 19280 22511 45022 90044 112555 180088 225110 360176 450220 900440 1800880 5425151 10850302 21700604 27125755 43401208 54251510 86802416 108503020 217006040 434012080