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3098064 = 243194379
BaseRepresentation
bin1011110100010111010000
312211101202010
423310113100
51243114224
6150222520
735222154
oct13642720
95741663
103098064
111826692
121054a40
13846198
145a9064
15412e29
hex2f45d0

3098064 has 80 divisors (see below), whose sum is σ = 8729600. Its totient is φ = 943488.

The previous prime is 3098059. The next prime is 3098071. The reversal of 3098064 is 4608903.

3098064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39177 + ... + 39255.

It is an arithmetic number, because the mean of its divisors is an integer number (109120).

Almost surely, 23098064 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 3098064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364800).

3098064 is an abundant number, since it is smaller than the sum of its proper divisors (5631536).

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

3098064 is a wasteful number, since it uses less digits than its factorization.

3098064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3098064 is about 1760.1318132458. The cubic root of 3098064 is about 145.7796137016.

The spelling of 3098064 in words is "three million, ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 43 48 57 76 79 86 114 129 152 158 172 228 237 258 304 316 344 456 474 516 632 688 817 912 948 1032 1264 1501 1634 1896 2064 2451 3002 3268 3397 3792 4503 4902 6004 6536 6794 9006 9804 10191 12008 13072 13588 18012 19608 20382 24016 27176 36024 39216 40764 54352 64543 72048 81528 129086 163056 193629 258172 387258 516344 774516 1032688 1549032 3098064