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1684117444 = 22174712
BaseRepresentation
bin110010001100001…
…1001011111000100
311100100222000211011
41210120121133010
511422113224234
6435040252004
756506522252
oct14430313704
94310860734
101684117444
117947053a9
123b0011004
1320aba82c9
1411d94d5d2
159ccb7b64
hex646197c4

1684117444 has 45 divisors (see below), whose sum is σ = 3176129131. Its totient is φ = 781363520.

The previous prime is 1684117441. The next prime is 1684117447. The reversal of 1684117444 is 4447114861.

The square root of 1684117444 is 41038.

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

It is an interprime number because it is at equal distance from previous prime (1684117441) and next prime (1684117447).

It can be written as a sum of positive squares in 2 ways, for example, as 522671044 + 1161446400 = 22862^2 + 34080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1684117397 and 1684117406.

It is not an unprimeable number, because it can be changed into a prime (1684117441) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23719929 + ... + 23719999.

Almost surely, 21684117444 is an apocalyptic number.

1684117444 is the 41038-th square number.

It is an amenable number.

1684117444 is a deficient number, since it is larger than the sum of its proper divisors (1492011687).

1684117444 is an frugal number, since it uses more digits than its factorization.

1684117444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 90 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The cubic root of 1684117444 is about 1189.7547794034.

The spelling of 1684117444 in words is "one billion, six hundred eighty-four million, one hundred seventeen thousand, four hundred forty-four".

Divisors: 1 2 4 17 34 68 71 142 284 289 578 1156 1207 2414 4828 4913 5041 9826 10082 19652 20164 20519 41038 82076 83521 85697 167042 171394 334084 342788 348823 697646 1395292 1456849 2913698 5827396 5929991 11859982 23719964 24766433 49532866 99065732 421029361 842058722 1684117444