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3413916 = 22321137233
BaseRepresentation
bin1101000001011110011100
320102110000100
431001132130
51333221131
6201101100
741006052
oct15013634
96373010
103413916
111a21a20
121187790
13926b8c
1464c1d2
154767e6
hex34179c

3413916 has 72 divisors (see below), whose sum is σ = 9710064. Its totient is φ = 1002240.

The previous prime is 3413911. The next prime is 3413929. The reversal of 3413916 is 6193143.

3413916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3413916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413911) 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 23 ways as a sum of consecutive naturals, for example, 14536 + ... + 14768.

It is an arithmetic number, because the mean of its divisors is an integer number (134862).

Almost surely, 23413916 is an apocalyptic number.

3413916 is a gapful number since it is divisible by the number (36) 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 3413916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855032).

3413916 is an abundant number, since it is smaller than the sum of its proper divisors (6296148).

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

3413916 is a wasteful number, since it uses less digits than its factorization.

3413916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 3413916 is about 1847.6785434702. The cubic root of 3413916 is about 150.5743314824.

The spelling of 3413916 in words is "three million, four hundred thirteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 233 333 396 407 444 466 666 699 814 932 1221 1332 1398 1628 2097 2442 2563 2796 3663 4194 4884 5126 7326 7689 8388 8621 10252 14652 15378 17242 23067 25863 30756 34484 46134 51726 77589 92268 94831 103452 155178 189662 284493 310356 379324 568986 853479 1137972 1706958 3413916