Search a number
-
+
454542336 = 21032313743
BaseRepresentation
bin11011000101111…
…100010000000000
31011200022010212100
4123011330100000
51412330323321
6113034230400
714156355213
oct3305742000
91150263770
10454542336
11213639426
12108285400
137322a381
144452177a
1529d89326
hex1b17c400

454542336 has 264 divisors, whose sum is σ = 1423794944. Its totient is φ = 139345920.

The previous prime is 454542331. The next prime is 454542343. The reversal of 454542336 is 633245454.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 454542336.

It is not an unprimeable number, because it can be changed into a prime (454542331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10570731 + ... + 10570773.

Almost surely, 2454542336 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 454542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711897472).

454542336 is an abundant number, since it is smaller than the sum of its proper divisors (969252608).

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

454542336 is a wasteful number, since it uses less digits than its factorization.

454542336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 454542336 is about 21319.9984990619. The cubic root of 454542336 is about 768.8792014451.

The spelling of 454542336 in words is "four hundred fifty-four million, five hundred forty-two thousand, three hundred thirty-six".