Search a number
-
+
3409296 = 243112587
BaseRepresentation
bin1101000000010110010000
320102012200020
431000112100
51333044141
6201023440
740656432
oct15002620
96365606
103409296
111a19500
121184b80
13924a47
1464a652
15475266
hex340590

3409296 has 60 divisors (see below), whose sum is σ = 9697296. Its totient is φ = 1031360.

The previous prime is 3409283. The next prime is 3409297. The reversal of 3409296 is 6929043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3409297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5515 + ... + 6101.

Almost surely, 23409296 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 3409296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848648).

3409296 is an abundant number, since it is smaller than the sum of its proper divisors (6288000).

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

3409296 is a wasteful number, since it uses less digits than its factorization.

3409296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3409296 is about 1846.4279027354. The cubic root of 3409296 is about 150.5063775107.

The spelling of 3409296 in words is "three million, four hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 587 726 968 1174 1452 1761 1936 2348 2904 3522 4696 5808 6457 7044 9392 12914 14088 19371 25828 28176 38742 51656 71027 77484 103312 142054 154968 213081 284108 309936 426162 568216 852324 1136432 1704648 3409296