Search a number
-
+
32270040 = 233251129281
BaseRepresentation
bin111101100011…
…0011011011000
32020201111011200
41323012123120
531230120130
63111354200
7541201515
oct173063330
966644150
1032270040
1117240a60
12a982960
1368bb2ca
14440030c
152c76760
hex1ec66d8

32270040 has 192 divisors, whose sum is σ = 118778400. Its totient is φ = 7526400.

The previous prime is 32270009. The next prime is 32270083. The reversal of 32270040 is 4007223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32269995 and 32270022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114700 + ... + 114980.

Almost surely, 232270040 is an apocalyptic number.

32270040 is a gapful number since it is divisible by the number (30) 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 32270040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59389200).

32270040 is an abundant number, since it is smaller than the sum of its proper divisors (86508360).

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

32270040 is a wasteful number, since it uses less digits than its factorization.

32270040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 32270040 is about 5680.6724954005. The cubic root of 32270040 is about 318.3707554178.

Adding to 32270040 its reverse (4007223), we get a palindrome (36277263).

It can be divided in two parts, 32 and 270040, that added together give a palindrome (270072).

The spelling of 32270040 in words is "thirty-two million, two hundred seventy thousand, forty".