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3374406 = 233779113
BaseRepresentation
bin1100110111110101000110
320100102211000
430313311012
51330440111
6200154130
740452630
oct14676506
96312730
103374406
1119a5272
121168946
13911bb9
1463ba50
15469c56
hex337d46

3374406 has 64 divisors (see below), whose sum is σ = 8755200. Its totient is φ = 943488.

The previous prime is 3374389. The next prime is 3374407. The reversal of 3374406 is 6044733.

It is a super-2 number, since 2×33744062 = 22773231705672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3374406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374407) 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 31 ways as a sum of consecutive naturals, for example, 29806 + ... + 29918.

It is an arithmetic number, because the mean of its divisors is an integer number (136800).

Almost surely, 23374406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3374406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377600).

3374406 is an abundant number, since it is smaller than the sum of its proper divisors (5380794).

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

3374406 is a wasteful number, since it uses less digits than its factorization.

3374406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3374406 is about 1836.9556336504. The cubic root of 3374406 is about 149.9911994837.

The spelling of 3374406 in words is "three million, three hundred seventy-four thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 113 126 158 189 226 237 339 378 474 553 678 711 791 1017 1106 1422 1582 1659 2034 2133 2373 3051 3318 4266 4746 4977 6102 7119 8927 9954 14238 14931 17854 21357 26781 29862 42714 53562 62489 80343 124978 160686 187467 241029 374934 482058 562401 1124802 1687203 3374406