Search a number
-
+
3409506 = 233103613
BaseRepresentation
bin1101000000011001100010
320102012222000
431000121202
51333101011
6201024430
740660152
oct15003142
96365860
103409506
111a19681
121185116
13924b79
1464a762
15475356
hex340662

3409506 has 32 divisors (see below), whose sum is σ = 7662720. Its totient is φ = 1123632.

The previous prime is 3409499. The next prime is 3409507. The reversal of 3409506 is 6059043.

It is a happy number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3409506.

It is not an unprimeable number, because it can be changed into a prime (3409507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5256 + ... + 5868.

It is an arithmetic number, because the mean of its divisors is an integer number (239460).

Almost surely, 23409506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831360).

3409506 is an abundant number, since it is smaller than the sum of its proper divisors (4253214).

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

3409506 is a wasteful number, since it uses less digits than its factorization.

3409506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3409506 is about 1846.4847684181. The cubic root of 3409506 is about 150.5094676590.

The spelling of 3409506 in words is "three million, four hundred nine thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 613 618 927 1226 1839 1854 2781 3678 5517 5562 11034 16551 33102 63139 126278 189417 378834 568251 1136502 1704753 3409506