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3353742 = 232743619
BaseRepresentation
bin1100110010110010001110
320022101110200
430302302032
51324304432
6155514330
740335450
oct14626216
96271420
103353742
111990797
1211589a6
13905682
146342d0
15463a7c
hex332c8e

3353742 has 48 divisors (see below), whose sum is σ = 8511360. Its totient is φ = 934416.

The previous prime is 3353729. The next prime is 3353767. The reversal of 3353742 is 2473533.

3353742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33537422 = 22495170805128, 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5109 + ... + 5727.

It is an arithmetic number, because the mean of its divisors is an integer number (177320).

Almost surely, 23353742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3353742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255680).

3353742 is an abundant number, since it is smaller than the sum of its proper divisors (5157618).

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

3353742 is a wasteful number, since it uses less digits than its factorization.

3353742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 674 counting only the distinct ones).

The product of its digits is 7560, while the sum is 27.

The square root of 3353742 is about 1831.3224729686. The cubic root of 3353742 is about 149.6844031231.

It can be divided in two parts, 3353 and 742, that added together give a triangular number (4095 = T90).

The spelling of 3353742 in words is "three million, three hundred fifty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 619 774 903 1238 1806 1857 2709 3714 4333 5418 5571 8666 11142 12999 25998 26617 38997 53234 77994 79851 159702 186319 239553 372638 479106 558957 1117914 1676871 3353742