Search a number
-
+
31443714 = 235232997
BaseRepresentation
bin111011111110…
…0101100000010
32012011111200000
41313330230002
531022144324
63041540430
7531160431
oct167745402
965144600
1031443714
1116827145
12a644716
13668c163
144267118
152b619c9
hex1dfcb02

31443714 has 96 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 9580032.

The previous prime is 31443661. The next prime is 31443721. The reversal of 31443714 is 41734413.

It is a super-2 number, since 2×314437142 = 1977414300227592, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324114 + ... + 324210.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 231443714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31443714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

31443714 is an abundant number, since it is smaller than the sum of its proper divisors (45607806).

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

31443714 is a wasteful number, since it uses less digits than its factorization.

31443714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 31443714 is about 5607.4694827524. The cubic root of 31443714 is about 315.6297605268.

The spelling of 31443714 in words is "thirty-one million, four hundred forty-three thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 81 87 97 138 162 174 194 207 243 261 291 414 486 522 582 621 667 783 873 1242 1334 1566 1746 1863 2001 2231 2349 2619 2813 3726 4002 4462 4698 5238 5589 5626 6003 6693 7047 7857 8439 11178 12006 13386 14094 15714 16878 18009 20079 23571 25317 36018 40158 47142 50634 54027 60237 64699 75951 108054 120474 129398 151902 162081 180711 194097 227853 324162 361422 388194 455706 542133 582291 683559 1084266 1164582 1367118 1746873 3493746 5240619 10481238 15721857 31443714