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3408405 = 3571113227
BaseRepresentation
bin1101000000001000010101
320102011110020
431000020111
51333032110
6201015353
740654020
oct15001025
96364406
103408405
111a18870
121184559
13924510
1464a1b7
15474d70
hex340215

3408405 has 64 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 1301760.

The previous prime is 3408389. The next prime is 3408407. The reversal of 3408405 is 5048043.

It is a happy number.

It is not a de Polignac number, because 3408405 - 24 = 3408389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3408407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14902 + ... + 15128.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 23408405 is an apocalyptic number.

3408405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3408405 is an abundant number, since it is smaller than the sum of its proper divisors (3945963).

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

3408405 is a wasteful number, since it uses less digits than its factorization.

3408405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3408405 is about 1846.1866102862. The cubic root of 3408405 is about 150.4932650415.

The spelling of 3408405 in words is "three million, four hundred eight thousand, four hundred five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 227 231 273 385 429 455 681 715 1001 1135 1155 1365 1589 2145 2497 2951 3003 3405 4767 5005 7491 7945 8853 12485 14755 15015 17479 20657 23835 32461 37455 44265 52437 61971 87395 97383 103285 162305 227227 262185 309855 486915 681681 1136135 3408405