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3026016 = 253271979
BaseRepresentation
bin1011100010110001100000
312200201220200
423202301200
51233313031
6144505200
734502130
oct13426140
95621820
103026016
111787544
12101b200
1381c456
1458aac0
153eb8e6
hex2e2c60

3026016 has 144 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 808704.

The previous prime is 3025999. The next prime is 3026021. The reversal of 3026016 is 6106203.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3026016.

It is a congruent number.

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, 38265 + ... + 38343.

It is an arithmetic number, because the mean of its divisors is an integer number (72800).

Almost surely, 23026016 is an apocalyptic number.

3026016 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 3026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3026016 is an abundant number, since it is smaller than the sum of its proper divisors (7457184).

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

3026016 is a wasteful number, since it uses less digits than its factorization.

3026016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3026016 is about 1739.5447680356. The cubic root of 3026016 is about 144.6406639422.

It can be divided in two parts, 30260 and 16, that added together give a square (30276 = 1742).

The spelling of 3026016 in words is "three million, twenty-six thousand, sixteen".

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 79 84 96 112 114 126 133 144 152 158 168 171 224 228 237 252 266 288 304 316 336 342 399 456 474 504 532 553 608 632 672 684 711 798 912 948 1008 1064 1106 1197 1264 1368 1422 1501 1596 1659 1824 1896 2016 2128 2212 2394 2528 2736 2844 3002 3192 3318 3792 4256 4424 4503 4788 4977 5472 5688 6004 6384 6636 7584 8848 9006 9576 9954 10507 11376 12008 12768 13272 13509 17696 18012 19152 19908 21014 22752 24016 26544 27018 31521 36024 38304 39816 42028 48032 53088 54036 63042 72048 79632 84056 94563 108072 126084 144096 159264 168112 189126 216144 252168 336224 378252 432288 504336 756504 1008672 1513008 3026016