Search a number
-
+
3411109688 = 237292239419
BaseRepresentation
bin1100101101010001…
…0110011100111000
322210201121022210212
43023110112130320
523441221002223
61322251530252
7150346645130
oct31324263470
98721538725
103411109688
1114a0534218
127b2459988
134249157cc
1424505dac0
1514e6ee278
hexcb516738

3411109688 has 64 divisors (see below), whose sum is σ = 7596288000. Its totient is φ = 1405014912.

The previous prime is 3411109679. The next prime is 3411109693. The reversal of 3411109688 is 8869011143.

3411109688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357443 + ... + 366861.

It is an arithmetic number, because the mean of its divisors is an integer number (118692000).

Almost surely, 23411109688 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 3411109688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798144000).

3411109688 is an abundant number, since it is smaller than the sum of its proper divisors (4185178312).

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

3411109688 is a wasteful number, since it uses less digits than its factorization.

3411109688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9684 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 3411109688 is about 58404.7060432633. The cubic root of 3411109688 is about 1505.3306173131.

The spelling of 3411109688 in words is "three billion, four hundred eleven million, one hundred nine thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 223 232 406 446 812 892 1561 1624 1784 3122 6244 6467 9419 12488 12934 18838 25868 37676 45269 51736 65933 75352 90538 131866 181076 263732 273151 362152 527464 546302 1092604 1912057 2100437 2185208 3824114 4200874 7648228 8401748 14703059 15296456 16803496 29406118 58812236 60912673 117624472 121825346 243650692 426388711 487301384 852777422 1705554844 3411109688