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3352986 = 2327132389
BaseRepresentation
bin1100110010100110011010
320022100102200
430302212122
51324243421
6155511030
740333320
oct14624632
96270380
103352986
11199016a
121158476
13905220
14633d10
15463726
hex33299a

3352986 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 836352.

The previous prime is 3352981. The next prime is 3353003. The reversal of 3352986 is 6892533.

3352986 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 2×33529862 = 22485030232392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3352986.

It is not an unprimeable number, because it can be changed into a prime (3352981) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37630 + ... + 37718.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 23352986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3352986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3352986 is an abundant number, since it is smaller than the sum of its proper divisors (6081894).

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

3352986 is a wasteful number, since it uses less digits than its factorization.

3352986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3352986 is about 1831.1160531217. The cubic root of 3352986 is about 149.6731549996.

It can be divided in two parts, 335 and 2986, that added together give a triangular number (3321 = T81).

The spelling of 3352986 in words is "three million, three hundred fifty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 89 91 117 126 138 161 178 182 207 234 267 273 299 322 414 483 534 546 598 623 801 819 897 966 1157 1246 1449 1602 1638 1794 1869 2047 2093 2314 2691 2898 3471 3738 4094 4186 5382 5607 6141 6279 6942 8099 10413 11214 12282 12558 14329 16198 18423 18837 20826 24297 26611 28658 36846 37674 42987 48594 53222 72891 79833 85974 128961 145782 159666 186277 239499 257922 372554 478998 558831 1117662 1676493 3352986