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3405220 = 2257131871
BaseRepresentation
bin1100111111010110100100
320102000002021
430333112210
51332431340
6200552524
740641520
oct14772644
96360067
103405220
111a16435
121182744
13922c30
14648d80
15473e4a
hex33f5a4

3405220 has 48 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 1077120.

The previous prime is 3405217. The next prime is 3405247. The reversal of 3405220 is 225043.

It is a junction number, because it is equal to n+sod(n) for n = 3405194 and 3405203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885 + ... + 2755.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 23405220 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 3405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

3405220 is an abundant number, since it is smaller than the sum of its proper divisors (5400668).

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

3405220 is a wasteful number, since it uses less digits than its factorization.

3405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3405220 is about 1845.3238198213. The cubic root of 3405220 is about 150.4463740541.

The spelling of 3405220 in words is "three million, four hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 1871 3742 7484 9355 13097 18710 24323 26194 37420 48646 52388 65485 97292 121615 130970 170261 243230 261940 340522 486460 681044 851305 1702610 3405220