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31373568 = 28341789
BaseRepresentation
bin111011110101…
…1100100000000
32012000221110000
41313223210000
531012423233
63040240000
7530446062
oct167534400
965027400
1031373568
1116789476
12a610000
136666255
144249732
152b4ad13
hex1deb900

31373568 has 180 divisors, whose sum is σ = 100166220. Its totient is φ = 9732096.

The previous prime is 31373567. The next prime is 31373591. The reversal of 31373568 is 86537313.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 16257024 = 3888^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31373567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352468 + ... + 352556.

It is an arithmetic number, because the mean of its divisors is an integer number (556479).

Almost surely, 231373568 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 31373568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50083110).

31373568 is an abundant number, since it is smaller than the sum of its proper divisors (68792652).

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

31373568 is an equidigital number, since it uses as much as digits as its factorization.

31373568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 31373568 is about 5601.2112975677. The cubic root of 31373568 is about 315.3948789289.

The spelling of 31373568 in words is "thirty-one million, three hundred seventy-three thousand, five hundred sixty-eight".