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531047340 = 223951971
BaseRepresentation
bin11111101001110…
…010001110101100
31101000021000000000
4133221302032230
52041422003330
6124410104300
716105553655
oct3751621654
91330230000
10531047340
112528427aa
12129a1b090
13860359c5
145075852c
153194c560
hex1fa723ac

531047340 has 240 divisors, whose sum is σ = 1785611520. Its totient is φ = 132269760.

The previous prime is 531047327. The next prime is 531047351. The reversal of 531047340 is 43740135.

531047340 is a `hidden beast` number, since 5 + 310 + 4 + 7 + 340 = 666.

It is a super-2 number, since 2×5310473402 = 564022554642151200, which contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 7479505 + ... + 7479575.

It is an arithmetic number, because the mean of its divisors is an integer number (7440048).

Almost surely, 2531047340 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 531047340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892805760).

531047340 is an abundant number, since it is smaller than the sum of its proper divisors (1254564180).

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

531047340 is an equidigital number, since it uses as much as digits as its factorization.

531047340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 531047340 is about 23044.4644112203. The cubic root of 531047340 is about 809.7999505970.

Adding to 531047340 its reverse (43740135), we get a palindrome (574787475).

It can be divided in two parts, 5310 and 47340, that added together give a triangular number (52650 = T324).

The spelling of 531047340 in words is "five hundred thirty-one million, forty-seven thousand, three hundred forty".