Search a number
-
+
450144342 = 23246354013
BaseRepresentation
bin11010110101001…
…010100001010110
31011101000200221200
4122311022201112
51410214104332
6112400053330
714104110114
oct3265124126
91141020850
10450144342
1121110511a
12106904246
137234a5cb
1443ad8ab4
15297bb17c
hex1ad4a856

450144342 has 24 divisors (see below), whose sum is σ = 977437344. Its totient is φ = 149721264.

The previous prime is 450144341. The next prime is 450144361. The reversal of 450144342 is 243441054.

It is a happy number.

It is a super-3 number, since 3×4501443423 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450144341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18673 + ... + 35340.

It is an arithmetic number, because the mean of its divisors is an integer number (40726556).

Almost surely, 2450144342 is an apocalyptic number.

450144342 is an abundant number, since it is smaller than the sum of its proper divisors (527293002).

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

450144342 is a wasteful number, since it uses less digits than its factorization.

450144342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54484 (or 54481 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 450144342 is about 21216.6053363869. The cubic root of 450144342 is about 766.3913574393.

Adding to 450144342 its reverse (243441054), we get a palindrome (693585396).

The spelling of 450144342 in words is "four hundred fifty million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 463 926 1389 2778 4167 8334 54013 108026 162039 324078 486117 972234 25008019 50016038 75024057 150048114 225072171 450144342