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3528084 = 223797433
BaseRepresentation
bin1101011101010110010100
320122020121210
431131112110
51400344314
6203341420
741662650
oct15352624
96566553
103528084
111a9a77a
121221870
13966b31
1467ba60
1549a559
hex35d594

3528084 has 48 divisors (see below), whose sum is σ = 9527168. Its totient is φ = 995328.

The previous prime is 3528067. The next prime is 3528089. The reversal of 3528084 is 4808253.

It is a super-2 number, since 2×35280842 = 24894753422112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7932 + ... + 8364.

Almost surely, 23528084 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 3528084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763584).

3528084 is an abundant number, since it is smaller than the sum of its proper divisors (5999084).

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

3528084 is a wasteful number, since it uses less digits than its factorization.

3528084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3528084 is about 1878.3194616465. The cubic root of 3528084 is about 152.2344604112.

The spelling of 3528084 in words is "three million, five hundred twenty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 433 582 679 866 1164 1299 1358 1732 2037 2598 2716 3031 4074 5196 6062 8148 9093 12124 18186 36372 42001 84002 126003 168004 252006 294007 504012 588014 882021 1176028 1764042 3528084