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3434805 = 35511257
BaseRepresentation
bin1101000110100100110101
320110111200000
431012210311
51334403210
6201341513
741124003
oct15064465
96414600
103434805
111a36690
121197899
1393353a
14655a73
1547cac0
hex346935

3434805 has 48 divisors (see below), whose sum is σ = 6761664. Its totient is φ = 1658880.

The previous prime is 3434791. The next prime is 3434813. The reversal of 3434805 is 5084343.

It is a happy number.

3434805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3434805 - 25 = 3434773 is a prime.

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

It is an Ulam number.

3434805 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13237 + ... + 13493.

It is an arithmetic number, because the mean of its divisors is an integer number (140868).

Almost surely, 23434805 is an apocalyptic number.

It is an amenable number.

3434805 is a deficient number, since it is larger than the sum of its proper divisors (3326859).

3434805 is a wasteful number, since it uses less digits than its factorization.

3434805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

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

The square root of 3434805 is about 1853.3226918160. The cubic root of 3434805 is about 150.8808176115.

The spelling of 3434805 in words is "three million, four hundred thirty-four thousand, eight hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 257 297 405 495 771 891 1215 1285 1485 2313 2673 2827 3855 4455 6939 8481 11565 13365 14135 20817 25443 34695 42405 62451 76329 104085 127215 228987 312255 381645 686961 1144935 3434805