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3420664 = 2313311061
BaseRepresentation
bin1101000011000111111000
320102210021021
431003013320
51333430124
6201152224
741034532
oct15030770
96383237
103420664
111a26aa5
12118b674
13929c80
14650852
154787e4
hex3431f8

3420664 has 32 divisors (see below), whose sum is σ = 7136640. Its totient is φ = 1526400.

The previous prime is 3420653. The next prime is 3420667. The reversal of 3420664 is 4660243.

3420664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420667) 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 7 ways as a sum of consecutive naturals, for example, 2694 + ... + 3754.

It is an arithmetic number, because the mean of its divisors is an integer number (223020).

Almost surely, 23420664 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 3420664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568320).

3420664 is an abundant number, since it is smaller than the sum of its proper divisors (3715976).

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

3420664 is a wasteful number, since it uses less digits than its factorization.

3420664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3420664 is about 1849.5037172171. The cubic root of 3420664 is about 150.6734753843.

The spelling of 3420664 in words is "three million, four hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1061 1612 2122 3224 4244 8488 13793 27586 32891 55172 65782 110344 131564 263128 427583 855166 1710332 3420664