Search a number
-
+
3366731676 = 22371119377173
BaseRepresentation
bin1100100010101100…
…0011111110011100
322200122002200121210
43020223003332130
523343340403201
61314024424420
7146300514150
oct31053037634
98618080553
103366731676
111478483380
1279b618110
13418678329
1423d1cb060
1514a8851d6
hexc8ac3f9c

3366731676 has 384 divisors, whose sum is σ = 10884464640. Its totient is φ = 783820800.

The previous prime is 3366731671. The next prime is 3366731689. The reversal of 3366731676 is 6761376633.

It is a super-2 number, since 2×33667316762 = 22669764356363537952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366731671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46119576 + ... + 46119648.

It is an arithmetic number, because the mean of its divisors is an integer number (28344960).

Almost surely, 23366731676 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 3366731676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442232320).

3366731676 is an abundant number, since it is smaller than the sum of its proper divisors (7517732964).

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

3366731676 is a wasteful number, since it uses less digits than its factorization.

3366731676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 48.

The square root of 3366731676 is about 58023.5441523525. The cubic root of 3366731676 is about 1498.7740614338.

The spelling of 3366731676 in words is "three billion, three hundred sixty-six million, seven hundred thirty-one thousand, six hundred seventy-six".