Search a number
-
+
1741430016 = 2834137613
BaseRepresentation
bin110011111001100…
…0001110100000000
311111100210210220000
41213303001310000
512031301230031
6444444520000
761103624304
oct14763016400
94440723800
101741430016
11813aa0167
12407250000
13219a23c81
141273cbd04
15a2d393e6
hex67cc1d00

1741430016 has 180 divisors, whose sum is σ = 5239064292. Its totient is φ = 575299584.

The previous prime is 1741429997. The next prime is 1741430021. The reversal of 1741430016 is 6100341471.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 350438400 + 1390991616 = 18720^2 + 37296^2 .

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2840526 + ... + 2841138.

Almost surely, 21741430016 is an apocalyptic number.

1741430016 is a gapful number since it is divisible by the number (16) 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 1741430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619532146).

1741430016 is an abundant number, since it is smaller than the sum of its proper divisors (3497634276).

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

1741430016 is an equidigital number, since it uses as much as digits as its factorization.

1741430016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1741430016 is about 41730.4447136620. Note that the first 3 decimals coincide. The cubic root of 1741430016 is about 1203.1007807311.

Adding to 1741430016 its reverse (6100341471), we get a palindrome (7841771487).

The spelling of 1741430016 in words is "one billion, seven hundred forty-one million, four hundred thirty thousand, sixteen".