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3408808 = 231373449
BaseRepresentation
bin1101000000001110101000
320102012000011
431000032220
51333040213
6201021304
740655134
oct15001650
96365004
103408808
111a190a7
121184834
13924760
1464a3c4
1547503d
hex3403a8

3408808 has 32 divisors (see below), whose sum is σ = 6993000. Its totient is φ = 1548288.

The previous prime is 3408803. The next prime is 3408827. The reversal of 3408808 is 8088043.

It can be written as a sum of positive squares in 4 ways, for example, as 2630884 + 777924 = 1622^2 + 882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3408808.

It is not an unprimeable number, because it can be changed into a prime (3408803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7368 + ... + 7816.

Almost surely, 23408808 is an apocalyptic number.

3408808 is the 1168-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496500).

3408808 is an abundant number, since it is smaller than the sum of its proper divisors (3584192).

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

3408808 is a wasteful number, since it uses less digits than its factorization.

3408808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 3408808 is about 1846.2957509565. The cubic root of 3408808 is about 150.4991961047.

The spelling of 3408808 in words is "three million, four hundred eight thousand, eight hundred eight".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 449 584 898 949 1796 1898 3592 3796 5837 7592 11674 23348 32777 46696 65554 131108 262216 426101 852202 1704404 3408808