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3104064 = 263217317
BaseRepresentation
bin1011110101110101000000
312211200222100
423311311000
51243312224
6150310400
735245515
oct13656500
95750870
103104064
111830147
121058400
13848b32
145ab30c
15414ac9
hex2f5d40

3104064 has 84 divisors (see below), whose sum is σ = 9450324. Its totient is φ = 970752.

The previous prime is 3104063. The next prime is 3104071. The reversal of 3104064 is 4604013.

3104064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 1937664 = 1080^2 + 1392^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9634 + ... + 9950.

Almost surely, 23104064 is an apocalyptic number.

3104064 is a gapful number since it is divisible by the number (34) 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 3104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725162).

3104064 is an abundant number, since it is smaller than the sum of its proper divisors (6346260).

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

3104064 is a wasteful number, since it uses less digits than its factorization.

3104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3104064 is about 1761.8354066144. The cubic root of 3104064 is about 145.8736631497.

Adding to 3104064 its reverse (4604013), we get a palindrome (7708077).

The spelling of 3104064 in words is "three million, one hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 317 408 544 576 612 634 816 951 1088 1224 1268 1632 1902 2448 2536 2853 3264 3804 4896 5072 5389 5706 7608 9792 10144 10778 11412 15216 16167 20288 21556 22824 30432 32334 43112 45648 48501 60864 64668 86224 91296 97002 129336 172448 182592 194004 258672 344896 388008 517344 776016 1034688 1552032 3104064