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3480660 = 2232561317
BaseRepresentation
bin1101010001110001010100
320112211120100
431101301110
51342340120
6202334100
741404461
oct15216124
96484510
103480660
111a68087
1211ba330
1394b381
14668668
1548b490
hex351c54

3480660 has 72 divisors (see below), whose sum is σ = 10764936. Its totient is φ = 910080.

The previous prime is 3480647. The next prime is 3480671. The reversal of 3480660 is 660843.

3480660 is digitally balanced in base 5, 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 4 ways, for example, as 219024 + 3261636 = 468^2 + 1806^2 .

It is a super-2 number, since 2×34806602 = 24229988071200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10822 + ... + 11138.

It is an arithmetic number, because the mean of its divisors is an integer number (149513).

Almost surely, 23480660 is an apocalyptic number.

3480660 is a gapful number since it is divisible by the number (30) 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 3480660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382468).

3480660 is an abundant number, since it is smaller than the sum of its proper divisors (7284276).

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

3480660 is a wasteful number, since it uses less digits than its factorization.

3480660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3480660 is about 1865.6527007994. The cubic root of 3480660 is about 151.5492765237.

The spelling of 3480660 in words is "three million, four hundred eighty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 317 366 549 610 634 732 915 951 1098 1220 1268 1585 1830 1902 2196 2745 2853 3170 3660 3804 4755 5490 5706 6340 9510 10980 11412 14265 19020 19337 28530 38674 57060 58011 77348 96685 116022 174033 193370 232044 290055 348066 386740 580110 696132 870165 1160220 1740330 3480660