Search a number
-
+
31219344 = 24341317109
BaseRepresentation
bin111011100010…
…1111010010000
32011202002220000
41313011322100
530443004334
63033050000
7526234332
oct167057220
964662800
1031219344
1116693612
12a556900
136610cb0
144209452
152b1a299
hex1dc5e90

31219344 has 200 divisors, whose sum is σ = 103977720. Its totient is φ = 8957952.

The previous prime is 31219313. The next prime is 31219351. The reversal of 31219344 is 44391213.

31219344 is a `hidden beast` number, since 312 + 1 + 9 + 344 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 25401600 = 2412^2 + 5040^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (2592) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 286362 + ... + 286470.

Almost surely, 231219344 is an apocalyptic number.

31219344 is a gapful number since it is divisible by the number (34) 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 31219344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51988860).

31219344 is an abundant number, since it is smaller than the sum of its proper divisors (72758376).

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

31219344 is a wasteful number, since it uses less digits than its factorization.

31219344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 31219344 is about 5587.4273149635. The cubic root of 31219344 is about 314.8772310695.

The spelling of 31219344 in words is "thirty-one million, two hundred nineteen thousand, three hundred forty-four".