Search a number
-
+
1668294964 = 227238921881
BaseRepresentation
bin110001101110000…
…0010100100110100
311022021012011110101
41203130002210310
511404040414324
6433313203444
756225162500
oct14334024464
94267164411
101668294964
11786788776
123a6860584
132078284ab
1411b7d1300
159b6de944
hex63702934

1668294964 has 36 divisors (see below), whose sum is σ = 3405058020. Its totient is φ = 713112960.

The previous prime is 1668294941. The next prime is 1668294967. The reversal of 1668294964 is 4694928661.

It can be written as a sum of positive squares in 2 ways, for example, as 142611364 + 1525683600 = 11942^2 + 39060^2 .

It is a super-2 number, since 2×16682949642 = 5566416173815522592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668294967) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 65304 + ... + 87184.

It is an arithmetic number, because the mean of its divisors is an integer number (94584945).

Almost surely, 21668294964 is an apocalyptic number.

1668294964 is a gapful number since it is divisible by the number (14) 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 1668294964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702529010).

1668294964 is an abundant number, since it is smaller than the sum of its proper divisors (1736763056).

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

1668294964 is a wasteful number, since it uses less digits than its factorization.

1668294964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22288 (or 22279 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The square root of 1668294964 is about 40844.7666660002. The cubic root of 1668294964 is about 1186.0170878160.

The spelling of 1668294964 in words is "one billion, six hundred sixty-eight million, two hundred ninety-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 389 778 1556 2723 5446 10892 19061 21881 38122 43762 76244 87524 153167 306334 612668 1072169 2144338 4288676 8511709 17023418 34046836 59581963 119163926 238327852 417073741 834147482 1668294964