Search a number
-
+
3406240 = 25561349
BaseRepresentation
bin1100111111100110100000
320102001111001
430333212200
51332444430
6201001344
740644505
oct14774640
96361431
103406240
111a17182
121183254
13923536
146494ac
154743ca
hex33f9a0

3406240 has 48 divisors (see below), whose sum is σ = 8202600. Its totient is φ = 1336320.

The previous prime is 3406223. The next prime is 3406259. The reversal of 3406240 is 426043.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 1227664 = 1476^2 + 1108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9586 + ... + 9934.

Almost surely, 23406240 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 3406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101300).

3406240 is an abundant number, since it is smaller than the sum of its proper divisors (4796360).

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

3406240 is a wasteful number, since it uses less digits than its factorization.

3406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3406240 is about 1845.6001733853. The cubic root of 3406240 is about 150.4613941294.

The spelling of 3406240 in words is "three million, four hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 349 488 610 698 976 1220 1396 1745 1952 2440 2792 3490 4880 5584 6980 9760 11168 13960 21289 27920 42578 55840 85156 106445 170312 212890 340624 425780 681248 851560 1703120 3406240