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3480876 = 2232719727
BaseRepresentation
bin1101010001110100101100
320112211212100
431101310230
51342342001
6202335100
741405220
oct15216454
96484770
103480876
111a68263
1211ba490
1394b4b9
14668780
1548b586
hex351d2c

3480876 has 72 divisors (see below), whose sum is σ = 10599680. Its totient is φ = 940896.

The previous prime is 3480871. The next prime is 3480877. The reversal of 3480876 is 6780843.

3480876 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3480876.

It is not an unprimeable number, because it can be changed into a prime (3480871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4425 + ... + 5151.

Almost surely, 23480876 is an apocalyptic number.

3480876 is a gapful number since it is divisible by the number (36) 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 3480876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299840).

3480876 is an abundant number, since it is smaller than the sum of its proper divisors (7118804).

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

3480876 is a wasteful number, since it uses less digits than its factorization.

3480876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3480876 is about 1865.7105884890. The cubic root of 3480876 is about 151.5524113666.

It can be divided in two parts, 3480 and 876, that added together give a square (4356 = 662).

The spelling of 3480876 in words is "three million, four hundred eighty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 727 798 1197 1454 1596 2181 2394 2908 4362 4788 5089 6543 8724 10178 13086 13813 15267 20356 26172 27626 30534 41439 45801 55252 61068 82878 91602 96691 124317 165756 183204 193382 248634 290073 386764 497268 580146 870219 1160292 1740438 3480876