Search a number
-
+
3386292 = 2237213443
BaseRepresentation
bin1100111010101110110100
320101001010020
430322232310
51331330132
6200325140
740532400
oct14725664
96331106
103386292
111a03198
1211737b0
13917430
14642100
1546d52c
hex33abb4

3386292 has 72 divisors (see below), whose sum is σ = 9920736. Its totient is φ = 891072.

The previous prime is 3386263. The next prime is 3386297. The reversal of 3386292 is 2926833.

It is a super-2 number, since 2×33862922 = 22933947018528, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386297) 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 23 ways as a sum of consecutive naturals, for example, 7423 + ... + 7865.

It is an arithmetic number, because the mean of its divisors is an integer number (137788).

Almost surely, 23386292 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 3386292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960368).

3386292 is an abundant number, since it is smaller than the sum of its proper divisors (6534444).

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

3386292 is a wasteful number, since it uses less digits than its factorization.

3386292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

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

The square root of 3386292 is about 1840.1880338705. The cubic root of 3386292 is about 150.1671026644.

The spelling of 3386292 in words is "three million, three hundred eighty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 443 546 588 637 886 1092 1274 1329 1772 1911 2548 2658 3101 3822 5316 5759 6202 7644 9303 11518 12404 17277 18606 21707 23036 34554 37212 40313 43414 65121 69108 80626 86828 120939 130242 161252 241878 260484 282191 483756 564382 846573 1128764 1693146 3386292