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819087345 = 32518201941
BaseRepresentation
bin110000110100100…
…100011111110001
32010002020221121100
4300310210133301
53134141243340
6213135515013
726204061516
oct6064443761
92102227540
10819087345
1139039849a
121aa388a69
13100906a8b
147aad730d
154bd97830
hex30d247f1

819087345 has 12 divisors (see below), whose sum is σ = 1419751476. Its totient is φ = 436846560.

The previous prime is 819087343. The next prime is 819087361. The reversal of 819087345 is 543780918.

819087345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 261371889 + 557715456 = 16167^2 + 23616^2 .

It is not a de Polignac number, because 819087345 - 21 = 819087343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 18201941 = 819087345 / (8 + 1 + 9 + 0 + 8 + 7 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 819087345.

It is not an unprimeable number, because it can be changed into a prime (819087343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9100926 + ... + 9101015.

It is an arithmetic number, because the mean of its divisors is an integer number (118312623).

Almost surely, 2819087345 is an apocalyptic number.

It is an amenable number.

819087345 is a deficient number, since it is larger than the sum of its proper divisors (600664131).

819087345 is a wasteful number, since it uses less digits than its factorization.

819087345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18201952 (or 18201949 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 819087345 is about 28619.7020424742. The cubic root of 819087345 is about 935.6427829574.

It can be divided in two parts, 8190873 and 45, that added together give a palindrome (8190918).

The spelling of 819087345 in words is "eight hundred nineteen million, eighty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 18201941 54605823 91009705 163817469 273029115 819087345