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3405834 = 233591069
BaseRepresentation
bin1100111111100000001010
320102000221000
430333200022
51332441314
6200555430
740643355
oct14774012
96360830
103405834
111a16943
121182b76
139232b3
1464929c
15474209
hex33f80a

3405834 has 32 divisors (see below), whose sum is σ = 7704000. Its totient is φ = 1114992.

The previous prime is 3405827. The next prime is 3405839. The reversal of 3405834 is 4385043.

It is a happy number.

3405834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3405798 and 3405807.

It is not an unprimeable number, because it can be changed into a prime (3405839) 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 15 ways as a sum of consecutive naturals, for example, 2652 + ... + 3720.

It is an arithmetic number, because the mean of its divisors is an integer number (240750).

Almost surely, 23405834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852000).

3405834 is an abundant number, since it is smaller than the sum of its proper divisors (4298166).

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

3405834 is a wasteful number, since it uses less digits than its factorization.

3405834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3405834 is about 1845.4901787872. The cubic root of 3405834 is about 150.4554159097.

The spelling of 3405834 in words is "three million, four hundred five thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1069 1593 2138 3186 3207 6414 9621 19242 28863 57726 63071 126142 189213 378426 567639 1135278 1702917 3405834