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3409056 = 253271989
BaseRepresentation
bin1101000000010010100000
320102012100100
431000102200
51333042211
6201022400
740655640
oct15002240
96365310
103409056
111a19302
121184a00
139248c1
1464a520
15475156
hex3404a0

3409056 has 144 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 912384.

The previous prime is 3409033. The next prime is 3409057. The reversal of 3409056 is 6509043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34090562 = 23243325622272, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3409057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38260 + ... + 38348.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

Almost surely, 23409056 is an apocalyptic number.

3409056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3409056 is an abundant number, since it is smaller than the sum of its proper divisors (8384544).

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

3409056 is a wasteful number, since it uses less digits than its factorization.

3409056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

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

The square root of 3409056 is about 1846.3629112393. The cubic root of 3409056 is about 150.5028457573.

The spelling of 3409056 in words is "three million, four hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 89 96 112 114 126 133 144 152 168 171 178 224 228 252 266 267 288 304 336 342 356 399 456 504 532 534 608 623 672 684 712 798 801 912 1008 1064 1068 1197 1246 1368 1424 1596 1602 1691 1824 1869 2016 2128 2136 2394 2492 2736 2848 3192 3204 3382 3738 4256 4272 4788 4984 5073 5472 5607 6384 6408 6764 7476 8544 9576 9968 10146 11214 11837 12768 12816 13528 14952 15219 19152 19936 20292 22428 23674 25632 27056 29904 30438 35511 38304 40584 44856 47348 54112 59808 60876 71022 81168 89712 94696 106533 121752 142044 162336 179424 189392 213066 243504 284088 378784 426132 487008 568176 852264 1136352 1704528 3409056