Search a number
-
+
32411938104 = 2334713242281
BaseRepresentation
bin11110001011111001…
…101110110100111000
310002122211210001110000
4132023321232310320
51012334424004404
622520112153000
72225124633240
oct361371566470
9102584701400
1032411938104
111282276a907
126346838760
133096ca0800
1417d68d4b20
15c9a75c339
hex78be6ed38

32411938104 has 240 divisors, whose sum is σ = 112350039120. Its totient is φ = 8548001280.

The previous prime is 32411938103. The next prime is 32411938127. The reversal of 32411938104 is 40183911423.

It is a super-2 number, since 2×324119381042 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32411938103) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 745444 + ... + 787724.

It is an arithmetic number, because the mean of its divisors is an integer number (468125163).

Almost surely, 232411938104 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 32411938104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56175019560).

32411938104 is an abundant number, since it is smaller than the sum of its proper divisors (79938101016).

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

32411938104 is a wasteful number, since it uses less digits than its factorization.

32411938104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42332 (or 42306 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 32411938104 in words is "thirty-two billion, four hundred eleven million, nine hundred thirty-eight thousand, one hundred four".