Search a number
-
+
3287140020 = 2232518261889
BaseRepresentation
bin1100001111101101…
…1100011010110100
322111002100000101200
43003323130122310
523213001440040
61302102452500
7144313141413
oct30373343264
98432300350
103287140020
111437560a4a
12778a34130
1340502ba88
142327cd47a
151438b2630
hexc3edc6b4

3287140020 has 36 divisors (see below), whose sum is σ = 9970991940. Its totient is φ = 876570624.

The previous prime is 3287140019. The next prime is 3287140033. The reversal of 3287140020 is 200417823.

It can be written as a sum of positive squares in 2 ways, for example, as 354267684 + 2932872336 = 18822^2 + 54156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×32871400202 = 21610579022171200800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9130765 + ... + 9131124.

Almost surely, 23287140020 is an apocalyptic number.

3287140020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3287140020 is an abundant number, since it is smaller than the sum of its proper divisors (6683851920).

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

3287140020 is a wasteful number, since it uses less digits than its factorization.

3287140020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18261904 (or 18261899 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3287140020 is about 57333.5854451821. The cubic root of 3287140020 is about 1486.8690949686.

Adding to 3287140020 its reverse (200417823), we get a palindrome (3487557843).

The spelling of 3287140020 in words is "three billion, two hundred eighty-seven million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18261889 36523778 54785667 73047556 91309445 109571334 164357001 182618890 219142668 273928335 328714002 365237780 547856670 657428004 821785005 1095713340 1643570010 3287140020