Search a number
-
+
32329040 = 245404113
BaseRepresentation
bin111101101010…
…0110101010000
32020211111002212
41323110311100
531234012130
63112531252
7541535522
oct173246520
966744085
1032329040
1117281317
12a9b0b28
13690c113
144417a12
152c88e95
hex1ed4d50

32329040 has 20 divisors (see below), whose sum is σ = 75165204. Its totient is φ = 12931584.

The previous prime is 32329039. The next prime is 32329043. The reversal of 32329040 is 4092323.

It can be written as a sum of positive squares in 2 ways, for example, as 3341584 + 28987456 = 1828^2 + 5384^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 32328997 and 32329015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32329043) 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 3 ways as a sum of consecutive naturals, for example, 201977 + ... + 202136.

Almost surely, 232329040 is an apocalyptic number.

It is an amenable number.

32329040 is an abundant number, since it is smaller than the sum of its proper divisors (42836164).

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

32329040 is a wasteful number, since it uses less digits than its factorization.

32329040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404126 (or 404120 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 32329040 is about 5685.8631710586. The cubic root of 32329040 is about 318.5646652955.

The spelling of 32329040 in words is "thirty-two million, three hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 404113 808226 1616452 2020565 3232904 4041130 6465808 8082260 16164520 32329040