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3406280 = 235314167
BaseRepresentation
bin1100111111100111001000
320102001112112
430333213020
51333000110
6201001452
740644563
oct14774710
96361475
103406280
111a17209
121183288
13923567
146494da
15474405
hex33f9c8

3406280 has 64 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 1267200.

The previous prime is 3406279. The next prime is 3406303. The reversal of 3406280 is 826043.

It is a happy number.

It is a congruent number.

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, 50807 + ... + 50873.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 23406280 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 3406280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

3406280 is an abundant number, since it is smaller than the sum of its proper divisors (4819000).

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

3406280 is a wasteful number, since it uses less digits than its factorization.

3406280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3406280 is about 1845.6110099368. The cubic root of 3406280 is about 150.4619830908.

The spelling of 3406280 in words is "three million, four hundred six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 67 82 124 134 155 164 205 248 268 310 328 335 410 536 620 670 820 1240 1271 1340 1640 2077 2542 2680 2747 4154 5084 5494 6355 8308 10168 10385 10988 12710 13735 16616 20770 21976 25420 27470 41540 50840 54940 83080 85157 109880 170314 340628 425785 681256 851570 1703140 3406280