Search a number
-
+
40334532 = 2237716763
BaseRepresentation
bin1001100111011…
…1010011000100
32210220012120120
42121313103010
540311201112
64000301540
7666560250
oct231672304
983805516
1040334532
1120849a27
12116118b0
138482bb4
1454dd260
15381ae8c
hex26774c4

40334532 has 48 divisors (see below), whose sum is σ = 109089792. Its totient is φ = 11360160.

The previous prime is 40334527. The next prime is 40334561. The reversal of 40334532 is 23543304.

40334532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 2583 + ... + 9345.

It is an arithmetic number, because the mean of its divisors is an integer number (2272704).

Almost surely, 240334532 is an apocalyptic number.

40334532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40334532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54544896).

40334532 is an abundant number, since it is smaller than the sum of its proper divisors (68755260).

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

40334532 is a wasteful number, since it uses less digits than its factorization.

40334532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 40334532 is about 6350.9473309106. The cubic root of 40334532 is about 342.9459465406.

Adding to 40334532 its reverse (23543304), we get a palindrome (63877836).

The spelling of 40334532 in words is "forty million, three hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 6763 13526 20289 27052 40578 47341 81156 94682 142023 189364 284046 480173 568092 960346 1440519 1920692 2881038 3361211 5762076 6722422 10083633 13444844 20167266 40334532