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3480528 = 243591229
BaseRepresentation
bin1101010001101111010000
320112211101110
431101233100
51342334103
6202333320
741404212
oct15215720
96484343
103480528
111a67a77
1211ba240
1394b2ac
146685b2
1548b403
hex351bd0

3480528 has 40 divisors (see below), whose sum is σ = 9151200. Its totient is φ = 1139584.

The previous prime is 3480517. The next prime is 3480569. The reversal of 3480528 is 8250843.

3480528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34805283 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3480495 and 3480504.

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 7 ways as a sum of consecutive naturals, for example, 2218 + ... + 3446.

It is an arithmetic number, because the mean of its divisors is an integer number (228780).

Almost surely, 23480528 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 3480528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575600).

3480528 is an abundant number, since it is smaller than the sum of its proper divisors (5670672).

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

3480528 is a wasteful number, since it uses less digits than its factorization.

3480528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

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

The square root of 3480528 is about 1865.6173241048. The cubic root of 3480528 is about 151.5473607226.

The spelling of 3480528 in words is "three million, four hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1229 1416 2458 2832 3687 4916 7374 9832 14748 19664 29496 58992 72511 145022 217533 290044 435066 580088 870132 1160176 1740264 3480528