Search a number
-
+
434020240 = 24518312963
BaseRepresentation
bin11001110111101…
…001111110010000
31010020200111211201
4121313221332100
51342102121430
6111022320544
713520053063
oct3167517620
91106614751
10434020240
11202aa1915
12101429154
136bbc3414
14418dc8da
15281838ca
hex19de9f90

434020240 has 40 divisors (see below), whose sum is σ = 1009988928. Its totient is φ = 173454720.

The previous prime is 434020229. The next prime is 434020241. The reversal of 434020240 is 42020434.

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

It is not an unprimeable number, because it can be changed into a prime (434020241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 144999 + ... + 147961.

Almost surely, 2434020240 is an apocalyptic number.

434020240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434020240 is an abundant number, since it is smaller than the sum of its proper divisors (575968688).

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

434020240 is a wasteful number, since it uses less digits than its factorization.

434020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 434020240 is about 20833.1524258812. The cubic root of 434020240 is about 757.1291972650.

Adding to 434020240 its reverse (42020434), we get a palindrome (476040674).

The spelling of 434020240 in words is "four hundred thirty-four million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1831 2963 3662 5926 7324 9155 11852 14648 14815 18310 23704 29296 29630 36620 47408 59260 73240 118520 146480 237040 5425253 10850506 21701012 27126265 43402024 54252530 86804048 108505060 217010120 434020240