Search a number
-
+
331108560 = 24345371381
BaseRepresentation
bin10011101111000…
…101000011010000
3212002001001120000
4103233011003100
51134230433220
652504450000
711130243036
oct2357050320
9762031500
10331108560
1115a9a1842
1292a79900
13537a0533
1431d90556
151e106390
hex13bc50d0

331108560 has 200 divisors, whose sum is σ = 1181925096. Its totient is φ = 85847040.

The previous prime is 331108559. The next prime is 331108567. The reversal of 331108560 is 65801133.

It can be written as a sum of positive squares in 4 ways, for example, as 83612736 + 247495824 = 9144^2 + 15732^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331108567) 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 39 ways as a sum of consecutive naturals, for example, 239070 + ... + 240450.

Almost surely, 2331108560 is an apocalyptic number.

331108560 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 331108560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590962548).

331108560 is an abundant number, since it is smaller than the sum of its proper divisors (850816536).

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

331108560 is a wasteful number, since it uses less digits than its factorization.

331108560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 331108560 is about 18196.3886526970. The cubic root of 331108560 is about 691.8152580226.

Adding to 331108560 its reverse (65801133), we get a palindrome (396909693).

The spelling of 331108560 in words is "three hundred thirty-one million, one hundred eight thousand, five hundred sixty".