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3480516 = 2233133767
BaseRepresentation
bin1101010001101111000100
320112211101000
431101233010
51342334031
6202333300
741404164
oct15215704
96484330
103480516
111a67a66
1211ba230
1394b2a0
146685a4
1548b3e6
hex351bc4

3480516 has 96 divisors (see below), whose sum is σ = 10129280. Its totient is φ = 1026432.

The previous prime is 3480511. The next prime is 3480517. The reversal of 3480516 is 6150843.

3480516 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-2 number, since 2×34805162 = 24227983252512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3480516.

It is not an unprimeable number, because it can be changed into a prime (3480511) 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 31 ways as a sum of consecutive naturals, for example, 51915 + ... + 51981.

Almost surely, 23480516 is an apocalyptic number.

3480516 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 3480516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064640).

3480516 is an abundant number, since it is smaller than the sum of its proper divisors (6648764).

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

3480516 is a wasteful number, since it uses less digits than its factorization.

3480516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3480516 is about 1865.6141080084. The cubic root of 3480516 is about 151.5471865564.

The spelling of 3480516 in words is "three million, four hundred eighty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 67 74 78 108 111 117 134 148 156 201 222 234 268 333 351 402 444 468 481 603 666 702 804 871 962 999 1206 1332 1404 1443 1742 1809 1924 1998 2412 2479 2613 2886 3484 3618 3996 4329 4958 5226 5772 7236 7437 7839 8658 9916 10452 12987 14874 15678 17316 22311 23517 25974 29748 31356 32227 44622 47034 51948 64454 66933 89244 94068 96681 128908 133866 193362 267732 290043 386724 580086 870129 1160172 1740258 3480516