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31324140 = 223251011723
BaseRepresentation
bin111011101111…
…1011111101100
32011221102122100
41313133133230
531004333030
63035215100
7530152011
oct167373754
964842570
1031324140
1116755321
12a5a7490
1366498c3
144235708
152b3b360
hex1ddf7ec

31324140 has 72 divisors (see below), whose sum is σ = 96013008. Its totient is φ = 8265600.

The previous prime is 31324133. The next prime is 31324187. The reversal of 31324140 is 4142313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17319 + ... + 19041.

It is an arithmetic number, because the mean of its divisors is an integer number (1333514).

Almost surely, 231324140 is an apocalyptic number.

31324140 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 31324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48006504).

31324140 is an abundant number, since it is smaller than the sum of its proper divisors (64688868).

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

31324140 is a wasteful number, since it uses less digits than its factorization.

31324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31324140 is about 5596.7972984556. The cubic root of 31324140 is about 315.2291605332.

Adding to 31324140 its reverse (4142313), we get a palindrome (35466453).

The spelling of 31324140 in words is "thirty-one million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1723 1818 2020 3030 3446 3636 4545 5169 6060 6892 8615 9090 10338 15507 17230 18180 20676 25845 31014 34460 51690 62028 77535 103380 155070 174023 310140 348046 522069 696092 870115 1044138 1566207 1740230 2088276 2610345 3132414 3480460 5220690 6264828 7831035 10441380 15662070 31324140