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450114340 = 225131731209
BaseRepresentation
bin11010110101000…
…011001100100100
31011100222011210111
4122311003030210
51410212124330
6112355302404
714103623464
oct3265031444
91140864714
10450114340
11211094625
121068aaa04
1372339a60
1443acbba4
15297b232a
hex1ad43324

450114340 has 24 divisors (see below), whose sum is σ = 1017951480. Its totient is φ = 166195968.

The previous prime is 450114317. The next prime is 450114349. The reversal of 450114340 is 43411054.

450114340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57123364 + 392990976 = 7558^2 + 19824^2 .

It is not an unprimeable number, because it can be changed into a prime (450114349) 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 7 ways as a sum of consecutive naturals, for example, 865345 + ... + 865864.

It is an arithmetic number, because the mean of its divisors is an integer number (42414645).

Almost surely, 2450114340 is an apocalyptic number.

It is an amenable number.

450114340 is an abundant number, since it is smaller than the sum of its proper divisors (567837140).

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

450114340 is a wasteful number, since it uses less digits than its factorization.

450114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731231 (or 1731229 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 450114340 is about 21215.8982840699. The cubic root of 450114340 is about 766.3743304680.

Adding to 450114340 its reverse (43411054), we get a palindrome (493525394).

The spelling of 450114340 in words is "four hundred fifty million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1731209 3462418 6924836 8656045 17312090 22505717 34624180 45011434 90022868 112528585 225057170 450114340