Search a number
-
+
31388280 = 23357114379
BaseRepresentation
bin111011110111…
…1001001111000
32012001200121220
41313233021320
531013411110
63040432040
7530540010
oct167571170
965050556
1031388280
1116799530
12a618620
13666cb61
144250c40
152b50370
hex1def278

31388280 has 256 divisors, whose sum is σ = 121651200. Its totient is φ = 6289920.

The previous prime is 31388267. The next prime is 31388299. The reversal of 31388280 is 8288313.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397281 + ... + 397359.

It is an arithmetic number, because the mean of its divisors is an integer number (475200).

Almost surely, 231388280 is an apocalyptic number.

31388280 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 31388280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60825600).

31388280 is an abundant number, since it is smaller than the sum of its proper divisors (90262920).

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

31388280 is a wasteful number, since it uses less digits than its factorization.

31388280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 31388280 is about 5602.5244310043. The cubic root of 31388280 is about 315.4441705742. Note that the first 3 decimals are identical.

Adding to 31388280 its sum of digits (33), we get a palindrome (31388313).

The spelling of 31388280 in words is "thirty-one million, three hundred eighty-eight thousand, two hundred eighty".