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3484660 = 2251737277
BaseRepresentation
bin1101010010101111110100
320120001001111
431102233310
51343002120
6202404404
741422234
oct15225764
96501044
103484660
111a70093
121200704
1395013a
14669cc4
1548c75a
hex352bf4

3484660 has 48 divisors (see below), whose sum is σ = 7986384. Its totient is φ = 1271808.

The previous prime is 3484639. The next prime is 3484667. The reversal of 3484660 is 664843.

It can be written as a sum of positive squares in 8 ways, for example, as 54756 + 3429904 = 234^2 + 1852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12442 + ... + 12718.

It is an arithmetic number, because the mean of its divisors is an integer number (166383).

Almost surely, 23484660 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 3484660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993192).

3484660 is an abundant number, since it is smaller than the sum of its proper divisors (4501724).

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

3484660 is a wasteful number, since it uses less digits than its factorization.

3484660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3484660 is about 1866.7244038690. The cubic root of 3484660 is about 151.6073081460.

It can be divided in two parts, 3484 and 660, that multiplied together give a triangular number (2299440 = T2144).

The spelling of 3484660 in words is "three million, four hundred eighty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 277 340 370 554 629 740 1108 1258 1385 2516 2770 3145 4709 5540 6290 9418 10249 12580 18836 20498 23545 40996 47090 51245 94180 102490 174233 204980 348466 696932 871165 1742330 3484660