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31324416 = 28340787
BaseRepresentation
bin111011101111…
…1100100000000
32011221110000120
41313133210000
531004340131
63035220240
7530152554
oct167374400
964843016
1031324416
1116755552
12a5a7680
136649a76
144235864
152b3b496
hex1ddf900

31324416 has 36 divisors (see below), whose sum is σ = 83370672. Its totient is φ = 10441216.

The previous prime is 31324409. The next prime is 31324417. The reversal of 31324416 is 61442313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31324417) 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 3 ways as a sum of consecutive naturals, for example, 19626 + ... + 21161.

It is an arithmetic number, because the mean of its divisors is an integer number (2315852).

Almost surely, 231324416 is an apocalyptic number.

It is an amenable number.

31324416 is an abundant number, since it is smaller than the sum of its proper divisors (52046256).

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

31324416 is an equidigital number, since it uses as much as digits as its factorization.

31324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40806 (or 40792 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 31324416 is about 5596.8219553600. The cubic root of 31324416 is about 315.2300863686.

Adding to 31324416 its reverse (61442313), we get a palindrome (92766729).

The spelling of 31324416 in words is "thirty-one million, three hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 40787 81574 122361 163148 244722 326296 489444 652592 978888 1305184 1957776 2610368 3915552 5220736 7831104 10441472 15662208 31324416