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31320000 = 26335429
BaseRepresentation
bin111011101111…
…0011111000000
32011221012222000
41313132133000
531004220000
63035144000
7530133645
oct167363700
964835860
1031320000
11167521a8
12a5a5000
136647a5a
144233dcc
152b3a000
hex1dde7c0

31320000 has 280 divisors, whose sum is σ = 119024400. Its totient is φ = 8064000.

The previous prime is 31319987. The next prime is 31320007. The reversal of 31320000 is 2313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31320007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1079986 + ... + 1080014.

Almost surely, 231320000 is an apocalyptic number.

31320000 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 31320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59512200).

31320000 is an abundant number, since it is smaller than the sum of its proper divisors (87704400).

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

31320000 is an equidigital number, since it uses as much as digits as its factorization.

31320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 31320000 is about 5596.4274318533. The cubic root of 31320000 is about 315.2152723496.

Adding to 31320000 its reverse (2313), we get a palindrome (31322313).

The spelling of 31320000 in words is "thirty-one million, three hundred twenty thousand".