Search a number
-
+
31542324 = 22311832879
BaseRepresentation
bin111100001010…
…0110000110100
32012100111221020
41320110300310
531033323244
63044021140
7532051062
oct170246064
965314836
1031542324
1116894240
12a6917b0
1366c4cc8
144291032
152b80d19
hex1e14c34

31542324 has 48 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 9439840.

The previous prime is 31542323. The next prime is 31542341. The reversal of 31542324 is 42324513.

It is a junction number, because it is equal to n+sod(n) for n = 31542294 and 31542303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31542323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9517 + ... + 12395.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 231542324 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 31542324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

31542324 is an abundant number, since it is smaller than the sum of its proper divisors (49742796).

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

31542324 is a wasteful number, since it uses less digits than its factorization.

31542324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2978 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 31542324 is about 5616.2553360758. The cubic root of 31542324 is about 315.9593629312.

Adding to 31542324 its reverse (42324513), we get a palindrome (73866837).

The spelling of 31542324 in words is "thirty-one million, five hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1826 2739 2879 3652 5478 5758 8637 10956 11516 17274 31669 34548 63338 95007 126676 190014 238957 380028 477914 716871 955828 1433742 2628527 2867484 5257054 7885581 10514108 15771162 31542324