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31420368 = 2432726173
BaseRepresentation
bin111011111011…
…0111111010000
32012010022122100
41313312333100
531020422433
63041240400
7531032400
oct167667720
965108570
1031420368
1116810651
12a633100
136681645
14425c800
152b59b13
hex1df6fd0

31420368 has 180 divisors, whose sum is σ = 105390948. Its totient is φ = 8709120.

The previous prime is 31420343. The next prime is 31420379. The reversal of 31420368 is 86302413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 23736384 = 2772^2 + 4872^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430380 + ... + 430452.

Almost surely, 231420368 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 31420368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52695474).

31420368 is an abundant number, since it is smaller than the sum of its proper divisors (73970580).

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

31420368 is a wasteful number, since it uses less digits than its factorization.

31420368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31420368 is about 5605.3874085562. The cubic root of 31420368 is about 315.5516260247.

The spelling of 31420368 in words is "thirty-one million, four hundred twenty thousand, three hundred sixty-eight".