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434014340 = 225192115413
BaseRepresentation
bin11001110111101…
…000100010000100
31010020200012202012
4121313220202010
51342101424330
6111022233352
713520026634
oct3167504204
91106605665
10434014340
11202a98441
12101425858
136bbc0826
14418da6c4
1528181c95
hex19de8884

434014340 has 48 divisors (see below), whose sum is σ = 964125120. Its totient is φ = 163658880.

The previous prime is 434014333. The next prime is 434014349. The reversal of 434014340 is 43410434.

It is not an unprimeable number, because it can be changed into a prime (434014349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77474 + ... + 82886.

It is an arithmetic number, because the mean of its divisors is an integer number (20085940).

Almost surely, 2434014340 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 434014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482062560).

434014340 is an abundant number, since it is smaller than the sum of its proper divisors (530110780).

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

434014340 is a wasteful number, since it uses less digits than its factorization.

434014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 434014340 is about 20833.0108241704. The cubic root of 434014340 is about 757.1257664860.

Adding to 434014340 its reverse (43410434), we get a palindrome (477424774).

The spelling of 434014340 in words is "four hundred thirty-four million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 211 380 422 844 1055 2110 4009 4220 5413 8018 10826 16036 20045 21652 27065 40090 54130 80180 102847 108260 205694 411388 514235 1028470 1142143 2056940 2284286 4568572 5710715 11421430 21700717 22842860 43401434 86802868 108503585 217007170 434014340