Search a number
-
+
3408912 = 243313607
BaseRepresentation
bin1101000000010000010000
320102012011000
431000100100
51333041122
6201022000
740655343
oct15002020
96365130
103408912
111a19191
121184900
13924810
1464a45a
154750ac
hex340410

3408912 has 80 divisors (see below), whose sum is σ = 10554880. Its totient is φ = 1047168.

The previous prime is 3408887. The next prime is 3408917. The reversal of 3408912 is 2198043.

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

It is not an unprimeable number, because it can be changed into a prime (3408917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5313 + ... + 5919.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

Almost surely, 23408912 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 3408912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277440).

3408912 is an abundant number, since it is smaller than the sum of its proper divisors (7145968).

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

3408912 is a wasteful number, since it uses less digits than its factorization.

3408912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3408912 is about 1846.3239152435. The cubic root of 3408912 is about 150.5007266257.

The spelling of 3408912 in words is "three million, four hundred eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 607 624 702 936 1214 1404 1821 1872 2428 2808 3642 4856 5463 5616 7284 7891 9712 10926 14568 15782 16389 21852 23673 29136 31564 32778 43704 47346 63128 65556 71019 87408 94692 126256 131112 142038 189384 213057 262224 284076 378768 426114 568152 852228 1136304 1704456 3408912