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31014468 = 22332111361
BaseRepresentation
bin111011001001…
…1111001000100
32011100200212000
41312103321010
530414430333
63024425300
7524422122
oct166237104
964320760
1031014468
11165636a1
12a478230
13656b974
144194912
152ac9713
hex1d93e44

31014468 has 48 divisors (see below), whose sum is σ = 80848320. Its totient is φ = 10281600.

The previous prime is 31014463. The next prime is 31014469. The reversal of 31014468 is 86441013.

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

It is not an unprimeable number, because it can be changed into a prime (31014461) 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 15 ways as a sum of consecutive naturals, for example, 22108 + ... + 23468.

It is an arithmetic number, because the mean of its divisors is an integer number (1684340).

Almost surely, 231014468 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 31014468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40424160).

31014468 is an abundant number, since it is smaller than the sum of its proper divisors (49833852).

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

31014468 is a wasteful number, since it uses less digits than its factorization.

31014468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 31014468 is about 5569.0634760254. The cubic root of 31014468 is about 314.1869280634.

It can be divided in two parts, 3101 and 4468, that added together give a square (7569 = 872).

The spelling of 31014468 in words is "thirty-one million, fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1266 1361 1899 2532 2722 3798 4083 5444 5697 7596 8166 11394 12249 16332 22788 24498 36747 48996 73494 146988 287171 574342 861513 1148684 1723026 2584539 3446052 5169078 7753617 10338156 15507234 31014468