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3386940 = 2235192971
BaseRepresentation
bin1100111010111000111100
320101002000020
430322320330
51331340230
6200332140
740534314
oct14727074
96332006
103386940
111a03727
121174050
1391780b
14642444
1546d810
hex33ae3c

3386940 has 48 divisors (see below), whose sum is σ = 9985920. Its totient is φ = 855360.

The previous prime is 3386923. The next prime is 3386941. The reversal of 3386940 is 496833.

It is a super-2 number, since 2×33869402 = 22942725127200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386941) 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 15 ways as a sum of consecutive naturals, for example, 346 + ... + 2625.

It is an arithmetic number, because the mean of its divisors is an integer number (208040).

Almost surely, 23386940 is an apocalyptic number.

3386940 is a gapful number since it is divisible by the number (30) 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 3386940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992960).

3386940 is an abundant number, since it is smaller than the sum of its proper divisors (6598980).

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

3386940 is a wasteful number, since it uses less digits than its factorization.

3386940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3386940 is about 1840.3640944118. The cubic root of 3386940 is about 150.1766807000.

The spelling of 3386940 in words is "three million, three hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2971 5942 8913 11884 14855 17826 29710 35652 44565 56449 59420 89130 112898 169347 178260 225796 282245 338694 564490 677388 846735 1128980 1693470 3386940