Search a number
-
+
450754434 = 232132712087
BaseRepresentation
bin11010110111011…
…111011110000010
31011102011200211200
4122313133132002
51410343120214
6112421122030
714112230604
oct3267373602
91142150750
10450754434
11211491529
12106b59316
1372502200
1443c17174
152988bd09
hex1addf782

450754434 has 72 divisors (see below), whose sum is σ = 1072948032. Its totient is φ = 136674720.

The previous prime is 450754433. The next prime is 450754457. The reversal of 450754434 is 434457054.

It is not an unprimeable number, because it can be changed into a prime (450754433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214939 + ... + 217025.

It is an arithmetic number, because the mean of its divisors is an integer number (14902056).

Almost surely, 2450754434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450754434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536474016).

450754434 is an abundant number, since it is smaller than the sum of its proper divisors (622193598).

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

450754434 is a wasteful number, since it uses less digits than its factorization.

450754434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 450754434 is about 21230.9781687043. The cubic root of 450754434 is about 766.7374376593.

The spelling of 450754434 in words is "four hundred fifty million, seven hundred fifty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 169 213 234 338 426 507 639 923 1014 1278 1521 1846 2087 2769 3042 4174 5538 6261 8307 11999 12522 16614 18783 23998 27131 35997 37566 54262 71994 81393 107991 148177 162786 215982 244179 296354 352703 444531 488358 705406 889062 1058109 1333593 1926301 2116218 2667186 3174327 3852602 5778903 6348654 11557806 17336709 25041913 34673418 50083826 75125739 150251478 225377217 450754434