Search a number
-
+
3383406 = 2321319761
BaseRepresentation
bin1100111010000001101110
320100220011100
430322001232
51331232111
6200303530
740521105
oct14720156
96326140
103383406
111a01004
121171ba6
13916020
1464103c
1546c756
hex33a06e

3383406 has 48 divisors (see below), whose sum is σ = 8321040. Its totient is φ = 984960.

The previous prime is 3383383. The next prime is 3383411. The reversal of 3383406 is 6043833.

3383406 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 2×33834062 = 22894872321672, 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 3383406.

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, 4066 + ... + 4826.

It is an arithmetic number, because the mean of its divisors is an integer number (173355).

Almost surely, 23383406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3383406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160520).

3383406 is an abundant number, since it is smaller than the sum of its proper divisors (4937634).

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

3383406 is a wasteful number, since it uses less digits than its factorization.

3383406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3383406 is about 1839.4037077270. The cubic root of 3383406 is about 150.1244300858.

The spelling of 3383406 in words is "three million, three hundred eighty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 761 1482 1522 2223 2283 4446 4566 6849 9893 13698 14459 19786 28918 29679 43377 59358 86754 89037 130131 178074 187967 260262 375934 563901 1127802 1691703 3383406