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3420405 = 325292621
BaseRepresentation
bin1101000011000011110101
320102202220200
431003003311
51333423110
6201151113
741034012
oct15030365
96382820
103420405
111a2688a
12118b499
13929b11
14650709
154786c0
hex3430f5

3420405 has 24 divisors (see below), whose sum is σ = 6135480. Its totient is φ = 1760640.

The previous prime is 3420401. The next prime is 3420409. The reversal of 3420405 is 5040243.

It is a happy number.

3420405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3420401) and next prime (3420409).

It can be written as a sum of positive squares in 4 ways, for example, as 815409 + 2604996 = 903^2 + 1614^2 .

It is not a de Polignac number, because 3420405 - 22 = 3420401 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420401) 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, 6 + ... + 2615.

It is an arithmetic number, because the mean of its divisors is an integer number (255645).

Almost surely, 23420405 is an apocalyptic number.

It is an amenable number.

3420405 is a deficient number, since it is larger than the sum of its proper divisors (2715075).

3420405 is a wasteful number, since it uses less digits than its factorization.

3420405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3420405 is about 1849.4336971084. The cubic root of 3420405 is about 150.6696724759.

Adding to 3420405 its reverse (5040243), we get a palindrome (8460648).

The spelling of 3420405 in words is "three million, four hundred twenty thousand, four hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 2621 7863 13105 23589 39315 76009 117945 228027 380045 684081 1140135 3420405