Search a number
-
+
38032232040 = 2332511177173109
BaseRepresentation
bin100011011010111001…
…011100111001101000
310122011112100120022200
4203122321130321220
51110342222411130
625245522420200
72514321431655
oct433271347150
9118145316280
1038032232040
1115147226930
127454b01660
1337814b211a
141bab102c2c
15ec8d8e760
hex8dae5ce68

38032232040 has 768 divisors, whose sum is σ = 148114137600. Its totient is φ = 8360755200.

The previous prime is 38032232039. The next prime is 38032232041. The reversal of 38032232040 is 4023223083.

38032232040 is a `hidden beast` number, since 380 + 3 + 223 + 20 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (38032232039) and next prime (38032232041).

It is a junction number, because it is equal to n+sod(n) for n = 38032231995 and 38032232013.

It is not an unprimeable number, because it can be changed into a prime (38032232041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 348919506 + ... + 348919614.

It is an arithmetic number, because the mean of its divisors is an integer number (192856950).

Almost surely, 238032232040 is an apocalyptic number.

38032232040 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 38032232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74057068800).

38032232040 is an abundant number, since it is smaller than the sum of its proper divisors (110081905560).

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

38032232040 is a wasteful number, since it uses less digits than its factorization.

38032232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

It can be divided in two parts, 38032 and 232040, that added together give a palindrome (270072).

The spelling of 38032232040 in words is "thirty-eight billion, thirty-two million, two hundred thirty-two thousand, forty".