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844134916 = 227321992
BaseRepresentation
bin110010010100000…
…111101000000100
32011211101111102011
4302110013220010
53212044304131
6215432424004
726630012512
oct6224075004
92154344364
10844134916
113a3546069
121b6848004
13105b66821
14801774b2
154e1940b1
hex32507a04

844134916 has 27 divisors (see below), whose sum is σ = 1505313621. Its totient is φ = 414193824.

The previous prime is 844134911. The next prime is 844134917. The reversal of 844134916 is 619431448.

The square root of 844134916 is 29054.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 479172100 + 364962816 = 21890^2 + 19104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (844134911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4241785 + ... + 4241983.

Almost surely, 2844134916 is an apocalyptic number.

844134916 is the 29054-th square number.

It is an amenable number.

844134916 is a deficient number, since it is larger than the sum of its proper divisors (661178705).

844134916 is an equidigital number, since it uses as much as digits as its factorization.

844134916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 274 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The cubic root of 844134916 is about 945.0844585451.

Multiplying 844134916 by its product of digits (82944), we get a square (70015926472704 = 83675522).

The spelling of 844134916 in words is "eight hundred forty-four million, one hundred thirty-four thousand, nine hundred sixteen".

Divisors: 1 2 4 73 146 199 292 398 796 5329 10658 14527 21316 29054 39601 58108 79202 158404 1060471 2120942 2890873 4241884 5781746 11563492 211033729 422067458 844134916