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1684061008 = 24725340529
BaseRepresentation
bin110010001100000…
…1011101101010000
311100100212011101221
41210120023231100
511422104423013
6435035134424
756506165600
oct14430135520
94310764357
101684061008
11794676a63
123abba4414
1320ab88706
1411d936c00
159cca608d
hex6460bb50

1684061008 has 60 divisors (see below), whose sum is σ = 3867291540. Its totient is φ = 708105216.

The previous prime is 1684060997. The next prime is 1684061011. The reversal of 1684061008 is 8001604861.

It can be written as a sum of positive squares in 2 ways, for example, as 1437319744 + 246741264 = 37912^2 + 15708^2 .

It is a super-2 number, since 2×16840610082 = 5672122957331952128, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 21288 + ... + 61816.

It is an arithmetic number, because the mean of its divisors is an integer number (64454859).

Almost surely, 21684061008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684061008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933645770).

1684061008 is an abundant number, since it is smaller than the sum of its proper divisors (2183230532).

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

1684061008 is a wasteful number, since it uses less digits than its factorization.

1684061008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40604 (or 40591 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1684061008 is about 41037.3123876308. The cubic root of 1684061008 is about 1189.7414894057.

Adding to 1684061008 its reverse (8001604861), we get a palindrome (9685665869).

The spelling of 1684061008 in words is "one billion, six hundred eighty-four million, sixty-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 20776 40529 41552 81058 162116 283703 324232 567406 648464 1134812 1985921 2148037 2269624 3971842 4296074 4539248 7943684 8592148 15036259 15887368 17184296 30072518 31774736 34368592 60145036 105253813 120290072 210507626 240580144 421015252 842030504 1684061008