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3289104 = 2432713251
BaseRepresentation
bin1100100011000000010000
320012002210200
430203000100
51320222404
6154255200
736646140
oct14430020
96162720
103289104
111947175
121127500
138b2120
14618920
1544e839
hex323010

3289104 has 120 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 864000.

The previous prime is 3289087. The next prime is 3289123. The reversal of 3289104 is 4019823.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12979 + ... + 13229.

Almost surely, 23289104 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 3289104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

3289104 is an abundant number, since it is smaller than the sum of its proper divisors (8085168).

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

3289104 is a wasteful number, since it uses less digits than its factorization.

3289104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

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

The square root of 3289104 is about 1813.5887075079. The cubic root of 3289104 is about 148.7165157783.

The spelling of 3289104 in words is "three million, two hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 251 252 273 312 336 364 468 502 504 546 624 728 753 819 936 1004 1008 1092 1456 1506 1638 1757 1872 2008 2184 2259 3012 3263 3276 3514 4016 4368 4518 5271 6024 6526 6552 7028 9036 9789 10542 12048 13052 13104 14056 15813 18072 19578 21084 22841 26104 28112 29367 31626 36144 39156 42168 45682 52208 58734 63252 68523 78312 84336 91364 117468 126504 137046 156624 182728 205569 234936 253008 274092 365456 411138 469872 548184 822276 1096368 1644552 3289104